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225733357305168 = 24329162164768179
BaseRepresentation
bin110011010100110110100100…
…100100110111110101010000
31002121020220020210100202122020
4303110312210210313311100
5214041403403432231133
62120032250040211440
765355461012340636
oct6324664444676520
91077226223322566
10225733357305168
1165a1aa85384639
1221398778769b80
1398c57448936ab
143da57a4bcd356
151b16c98e4a0b3
hexcd4da4937d50

225733357305168 has 40 divisors (see below), whose sum is σ = 603252937629600. Its totient is φ = 72649816143744.

The previous prime is 225733357305163. The next prime is 225733357305229. The reversal of 225733357305168 is 861503753337522.

225733357305168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225733357305163) 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, 81082382698 + ... + 81082385481.

It is an arithmetic number, because the mean of its divisors is an integer number (15081323440740).

Almost surely, 2225733357305168 is an apocalyptic number.

It is an amenable number.

225733357305168 is an abundant number, since it is smaller than the sum of its proper divisors (377519580324432).

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

225733357305168 is a wasteful number, since it uses less digits than its factorization.

225733357305168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162164768219 (or 162164768213 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 60.

The spelling of 225733357305168 in words is "two hundred twenty-five trillion, seven hundred thirty-three billion, three hundred fifty-seven million, three hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 162164768179 324329536358 486494304537 648659072716 972988609074 1297318145432 1945977218148 2594636290864 3891954436296 4702778277191 7783908872592 9405556554382 14108334831573 18811113108764 28216669663146 37622226217528 56433339326292 75244452435056 112866678652584 225733357305168