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256229168 = 241317233311
BaseRepresentation
bin11110100010110…
…11111100110000
3122212010210100012
433101123330300
51011043313133
641231514052
76230624546
oct1721337460
9585123305
10256229168
111216a8848
1271988928
1341113ac0
142605bd96
1517764b48
hexf45bf30

256229168 has 80 divisors (see below), whose sum is σ = 570338496. Its totient is φ = 110469120.

The previous prime is 256229161. The next prime is 256229173. The reversal of 256229168 is 861922652.

256229168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (103680) is a multiple of the sum of its prime divisors (576).

It is not an unprimeable number, because it can be changed into a prime (256229161) 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, 823733 + ... + 824043.

Almost surely, 2256229168 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 256229168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285169248).

256229168 is an abundant number, since it is smaller than the sum of its proper divisors (314109328).

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

256229168 is a wasteful number, since it uses less digits than its factorization.

256229168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 256229168 is about 16007.1598979956. The cubic root of 256229168 is about 635.1498338224.

The spelling of 256229168 in words is "two hundred fifty-six million, two hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 233 272 311 442 466 622 884 932 1244 1768 1864 2488 3029 3536 3728 3961 4043 4976 5287 6058 7922 8086 10574 12116 15844 16172 21148 24232 31688 32344 42296 48464 51493 63376 64688 68731 72463 84592 102986 137462 144926 205972 274924 289852 411944 549848 579704 823888 942019 1099696 1159408 1231871 1884038 2463742 3768076 4927484 7536152 9854968 15072304 16014323 19709936 32028646 64057292 128114584 256229168