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201465056 = 25131971359
BaseRepresentation
bin11000000001000…
…01110011100000
3112001002111002202
430000201303200
5403033340211
631554032332
74664265452
oct1400416340
9461074082
10201465056
11a37a3751
12575786a8
133297b0c0
141ca842d2
1512a4853b
hexc021ce0

201465056 has 96 divisors (see below), whose sum is σ = 457228800. Its totient is φ = 86607360.

The previous prime is 201465041. The next prime is 201465067. The reversal of 201465056 is 650564102.

It is a congruent number.

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, 561005 + ... + 561363.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2201465056 is an apocalyptic number.

201465056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

201465056 is an abundant number, since it is smaller than the sum of its proper divisors (255763744).

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

201465056 is a wasteful number, since it uses less digits than its factorization.

201465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

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

The square root of 201465056 is about 14193.8386633074. The cubic root of 201465056 is about 586.2280249627.

The spelling of 201465056 in words is "two hundred one million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 71 76 104 142 152 208 247 284 304 359 416 494 568 608 718 923 988 1136 1349 1436 1846 1976 2272 2698 2872 3692 3952 4667 5396 5744 6821 7384 7904 9334 10792 11488 13642 14768 17537 18668 21584 25489 27284 29536 35074 37336 43168 50978 54568 70148 74672 88673 101956 109136 140296 149344 177346 203912 218272 280592 331357 354692 407824 484291 561184 662714 709384 815648 968582 1325428 1418768 1937164 2650856 2837536 3874328 5301712 6295783 7748656 10603424 12591566 15497312 25183132 50366264 100732528 201465056