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2132256456 = 23321119141697
BaseRepresentation
bin111111100010111…
…1010011011001000
312111121012211222100
41333011322123020
513331324201311
6551325353400
7103560611061
oct17705723310
95447184870
102132256456
119a466a920
124b6108860
1327c9a2c15
14163285568
15c72d9a56
hex7f17a6c8

2132256456 has 96 divisors (see below), whose sum is σ = 6631466400. Its totient is φ = 612126720.

The previous prime is 2132256419. The next prime is 2132256463. The reversal of 2132256456 is 6546522312.

2132256456 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 5 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2132256456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55801 + ... + 85896.

It is an arithmetic number, because the mean of its divisors is an integer number (69077775).

Almost surely, 22132256456 is an apocalyptic number.

It is an amenable number.

2132256456 is an abundant number, since it is smaller than the sum of its proper divisors (4499209944).

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

2132256456 is a wasteful number, since it uses less digits than its factorization.

2132256456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141739 (or 141732 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2132256456 is about 46176.3625245644. The cubic root of 2132256456 is about 1287.1025360101.

Adding to 2132256456 its reverse (6546522312), we get a palindrome (8678778768).

The spelling of 2132256456 in words is "two billion, one hundred thirty-two million, two hundred fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 141697 283394 425091 566788 850182 1133576 1275273 1558667 1700364 2550546 2692243 3117334 3400728 4676001 5101092 5384486 6234668 8076729 9352002 10202184 10768972 12469336 14028003 16153458 18704004 21537944 24230187 28056006 29614673 32306916 37408008 48460374 56112012 59229346 64613832 88844019 96920748 112224024 118458692 177688038 193841496 236917384 266532057 355376076 533064114 710752152 1066128228 2132256456