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225726855168 = 2113172161141
BaseRepresentation
bin1101001000111001011…
…1100111100000000000
3210120122021220100011010
43102032113213200000
512144242033331133
6251410353520520
722210502416443
oct3221627474000
9716567810133
10225726855168
1187803a1a281
12378b7573140
13183943084b9
14acd4bd365a
155d11d71263
hex348e5e7800

225726855168 has 96 divisors (see below), whose sum is σ = 637191107280. Its totient is φ = 70816235520.

The previous prime is 225726855163. The next prime is 225726855187. The reversal of 225726855168 is 861558627522.

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

It is a super-2 number, since 2×2257268551682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225726855163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976123 + ... + 1185018.

Almost surely, 2225726855168 is an apocalyptic number.

It is an amenable number.

225726855168 is an abundant number, since it is smaller than the sum of its proper divisors (411464252112).

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

225726855168 is a wasteful number, since it uses less digits than its factorization.

225726855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161183 (or 2161163 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 57.

The spelling of 225726855168 in words is "two hundred twenty-five billion, seven hundred twenty-six million, eight hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 26112 34816 52224 104448 2161141 4322282 6483423 8644564 12966846 17289128 25933692 34578256 36739397 51867384 69156512 73478794 103734768 110218191 138313024 146957588 207469536 220436382 276626048 293915176 414939072 440872764 553252096 587830352 829878144 881745528 1106504192 1175660704 1659756288 1763491056 2213008384 2351321408 3319512576 3526982112 4426016768 4702642816 6639025152 7053964224 9405285632 13278050304 14107928448 18810571264 28215856896 37621142528 56431713792 75242285056 112863427584 225726855168