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2256761364 = 22311138591531
BaseRepresentation
bin1000011010000011…
…0111001000010100
312211021111100121020
42012200313020110
514110212330424
61011534121140
7106632104124
oct20640671024
95737440536
102256761364
11a58979240
1252b9501b0
1329c716470
14175a14c84
15d31d0079
hex86837214

2256761364 has 96 divisors (see below), whose sum is σ = 6197614080. Its totient is φ = 630115200.

The previous prime is 2256761317. The next prime is 2256761369. The reversal of 2256761364 is 4631676522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256761369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473279 + ... + 1474809.

It is an arithmetic number, because the mean of its divisors is an integer number (64558480).

Almost surely, 22256761364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256761364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098807040).

2256761364 is an abundant number, since it is smaller than the sum of its proper divisors (3940852716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2256761364 is a wasteful number, since it uses less digits than its factorization.

2256761364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2419 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 2256761364 is about 47505.3824739892. The cubic root of 2256761364 is about 1311.6819612875.

The spelling of 2256761364 in words is "two billion, two hundred fifty-six million, seven hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 859 1531 1716 1718 2577 3062 3436 4593 5154 6124 9186 9449 10308 11167 16841 18372 18898 19903 22334 28347 33501 33682 37796 39806 44668 50523 56694 59709 67002 67364 79612 101046 113388 119418 122837 134004 202092 218933 238836 245674 368511 437866 491348 656799 737022 875732 1313598 1315129 1474044 2627196 2630258 3945387 5260516 7890774 14466419 15781548 17096677 28932838 34193354 43399257 51290031 57865676 68386708 86798514 102580062 173597028 188063447 205160124 376126894 564190341 752253788 1128380682 2256761364