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201256256 = 2623472909
BaseRepresentation
bin10111111111011…
…10110101000000
3112000200212200102
423333232311000
5403010200011
631545341532
74662435635
oct1377566500
9460625612
10201256256
11a3670893
12574978a8
1332907056
141ca2c18c
1512a0673b
hexbfeed40

201256256 has 56 divisors (see below), whose sum is σ = 425744640. Its totient is φ = 94172672.

The previous prime is 201256207. The next prime is 201256261. The reversal of 201256256 is 652652102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67730 + ... + 70638.

Almost surely, 2201256256 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 201256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212872320).

201256256 is an abundant number, since it is smaller than the sum of its proper divisors (224488384).

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

201256256 is a wasteful number, since it uses less digits than its factorization.

201256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 201256256 is about 14186.4814524251. The cubic root of 201256256 is about 586.0254311475.

The spelling of 201256256 in words is "two hundred one million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 184 188 368 376 736 752 1081 1472 1504 2162 2909 3008 4324 5818 8648 11636 17296 23272 34592 46544 66907 69184 93088 133814 136723 186176 267628 273446 535256 546892 1070512 1093784 2141024 2187568 3144629 4282048 4375136 6289258 8750272 12578516 25157032 50314064 100628128 201256256