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256366164 = 223196118433
BaseRepresentation
bin11110100011111…
…01011001010100
3122212101202021010
433101331121110
51011112204124
641234452220
76232035135
oct1721753124
9585352233
10256366164
1112179176a
1271a34070
1341161272
1426095c8c
1517790529
hexf47d654

256366164 has 48 divisors (see below), whose sum is σ = 640028480. Its totient is φ = 79626240.

The previous prime is 256366133. The next prime is 256366169. The reversal of 256366164 is 461663652.

It is a super-2 number, since 2×2563661642 = 131447220088149792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256366169) 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, 4692 + ... + 23124.

Almost surely, 2256366164 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 256366164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320014240).

256366164 is an abundant number, since it is smaller than the sum of its proper divisors (383662316).

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

256366164 is a wasteful number, since it uses less digits than its factorization.

256366164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18520 (or 18518 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 256366164 is about 16011.4385362465. The cubic root of 256366164 is about 635.2630104816.

It can be divided in two parts, 256366 and 164, that multiplied together give a palindrome (42044024).

The spelling of 256366164 in words is "two hundred fifty-six million, three hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 732 1159 2318 3477 4636 6954 13908 18433 36866 55299 73732 110598 221196 350227 700454 1050681 1124413 1400908 2101362 2248826 3373239 4202724 4497652 6746478 13492956 21363847 42727694 64091541 85455388 128183082 256366164