Numbers 2,300,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

2,000,000,000 2,100,000,0002,200,000,0002,300,000,0002,400,000,000

2,500,000,0002,600,000,0002,700,000,0002,800,000,000 – 2,900,000,000

[1B] – [2B] – [3B] – [4B] – [5B] – [6B] – [7B] – [8B]  – [9B] & [10B]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

2,302,743,380

[Math.]   Two consecutive sums of consecutive square numbers:

2,302,743,380 = 63282+…+63842 = 63852+…+64402.

2,323,722,025

[Math.]   Sum of the first 310 cube numbers:

13+…+3103 = 2,323,722,025 = (1+2+…+310)2 = 48,2052.

2,345,678,901

[Math.]   Three numbers 2,345,678,901, 2,345,678,901×2 = 4,691,357,802 and 2,345,678,901×4 = 9,382,715,604 are all pan-digital numbers. Hence, there is a pan-digital number factorization: 4,691,357,8022 = 2,345,678,901×9,382,715,604.

2,353,802,256

[Math.]   Sum of the first 311 cube numbers:

13+…+3113 = 2,353,802,256 = (1+2+…+311)2 = 48,5162.

2,357,947,691

[Math.]   2,357,947,691 = (23–5+7–9+4–7+6–9+1)9 = 119.

2,357,964,501

[Math.]   2,357,964,501 = 119+75+31.

2,358,774,388

[Math.]   2,358,774,388 = 21+33+55+77+119.

2,362,747,595

[Math.]   2,362,747,595 = 119+97+75+53+31.

2,384,173,584

[Math.]   Sum of the first 312 cube numbers:

13+…+3123 = 2,384,173,584 = (1+2+…+312)2 = 48,8282.

2,386,517,904

[Math.]   488522 = 2,386,517,904, a square number using each of 10 digits 0-9 once. (The 20th of 87 such numbers).

x,yzw,abc,def

[Math.]  For any x,yzw = 1000 to 9999, there are always six 6-digit numbers abc,edf such that x,yzw +abc,def is equal to one of 6 digit-rotations of 142,857 and the number x,yzw,abc,def is a multiple of 142,857.

For any x,yzw = 1000 to 9999, there are always twelve 6-digit numbers abc,edf such that x,yzw +abc,def is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number x,yzw,abc,def is a multiple of 76,923.