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201146856 = 233171094523
BaseRepresentation
bin10111111110101…
…00000111101000
3112000111022121120
423333110013220
5402443144411
631543135240
74661501661
oct1377240750
9460438546
10201146856
11a35a6679
1257444520
1332899311
141ca00368
15129d4106
hexbfd41e8

201146856 has 64 divisors (see below), whose sum is σ = 537451200. Its totient is φ = 62512128.

The previous prime is 201146849. The next prime is 201146899. The reversal of 201146856 is 658641102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42211 + ... + 46733.

It is an arithmetic number, because the mean of its divisors is an integer number (8397675).

Almost surely, 2201146856 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 201146856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268725600).

201146856 is an abundant number, since it is smaller than the sum of its proper divisors (336304344).

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

201146856 is a wasteful number, since it uses less digits than its factorization.

201146856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 201146856 is about 14182.6251448736. The cubic root of 201146856 is about 585.9192269089.

Adding to 201146856 its reverse (658641102), we get a palindrome (859787958).

The spelling of 201146856 in words is "two hundred one million, one hundred forty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1308 1853 2616 3706 4523 5559 7412 9046 11118 13569 14824 18092 22236 27138 36184 44472 54276 76891 108552 153782 230673 307564 461346 493007 615128 922692 986014 1479021 1845384 1972028 2958042 3944056 5916084 8381119 11832168 16762238 25143357 33524476 50286714 67048952 100573428 201146856