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226275131232 = 25332311386631
BaseRepresentation
bin1101001010111100001…
…1000111111101100000
3210122001111120122112000
43102233003013331200
512201402413144412
6251541021204000
722230210611103
oct3225703077540
9718044518460
10226275131232
1187a6545a197
1237a2b100600
1318450a940c7
14ad4795473a
155d450734dc
hex34af0c7f60

226275131232 has 96 divisors (see below), whose sum is σ = 688663503360. Its totient is φ = 72145687680.

The previous prime is 226275131231. The next prime is 226275131237. The reversal of 226275131232 is 232131572622.

226275131232 is a `hidden beast` number, since 2 + 2 + 627 + 5 + 1 + 3 + 1 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226275131231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5673444 + ... + 5713187.

It is an arithmetic number, because the mean of its divisors is an integer number (7173578160).

Almost surely, 2226275131232 is an apocalyptic number.

It is an amenable number.

226275131232 is an abundant number, since it is smaller than the sum of its proper divisors (462388372128).

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

226275131232 is a wasteful number, since it uses less digits than its factorization.

226275131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11386673 (or 11386659 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 226275131232 in words is "two hundred twenty-six billion, two hundred seventy-five million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 11386631 22773262 34159893 45546524 68319786 91093048 102479679 136639572 182186096 204959358 261892513 273279144 307439037 364372192 409918716 523785026 546558288 614878074 785677539 819837432 1047570052 1093116576 1229756148 1571355078 1639674864 2095140104 2357032617 2459512296 3142710156 3279349728 4190280208 4714065234 4919024592 6285420312 7071097851 8380560416 9428130468 9838049184 12570840624 14142195702 18856260936 25141681248 28284391404 37712521872 56568782808 75425043744 113137565616 226275131232