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204256164 = 223729191439
BaseRepresentation
bin11000010110010…
…11001110100100
3112020100021210010
430023023032210
5404242144124
632133530220
75030102010
oct1413131644
9466307703
10204256164
11a532a752
12584a3970
1333417648
141d1ad540
1512dea529
hexc2cb3a4

204256164 has 96 divisors (see below), whose sum is σ = 567705600. Its totient is φ = 55923840.

The previous prime is 204256163. The next prime is 204256183. The reversal of 204256164 is 461652402.

It is not an unprimeable number, because it can be changed into a prime (204256163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465057 + ... + 465495.

It is an arithmetic number, because the mean of its divisors is an integer number (5913600).

Almost surely, 2204256164 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 204256164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283852800).

204256164 is an abundant number, since it is smaller than the sum of its proper divisors (363449436).

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

204256164 is a wasteful number, since it uses less digits than its factorization.

204256164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 204256164 is about 14291.8215773917. The cubic root of 204256164 is about 588.9228301522.

The spelling of 204256164 in words is "two hundred four million, two hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 191 203 348 382 406 439 573 609 764 812 878 1146 1218 1317 1337 1756 2292 2436 2634 2674 3073 4011 5268 5348 5539 6146 8022 9219 11078 12292 12731 16044 16617 18438 22156 25462 33234 36876 38193 38773 50924 66468 76386 77546 83849 89117 116319 152772 155092 167698 178234 232638 251547 267351 335396 356468 465276 503094 534702 586943 1006188 1069404 1173886 1760829 2347772 2431621 3521658 4863242 7043316 7294863 9726484 14589726 17021347 29179452 34042694 51064041 68085388 102128082 204256164