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255022656 = 2637227107
BaseRepresentation
bin11110011001101…
…01011001000000
3122202212111022120
433030311121000
51010241211111
641150004240
76214441200
oct1714653100
9582774276
10255022656
11120a54329
12714a6680
1340ab08a5
1425c26400
15175c7406
hexf335640

255022656 has 84 divisors (see below), whose sum is σ = 784939248. Its totient is φ = 72860928.

The previous prime is 255022631. The next prime is 255022681. The reversal of 255022656 is 656220552.

It is an interprime number because it is at equal distance from previous prime (255022631) and next prime (255022681).

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4146 + ... + 22961.

Almost surely, 2255022656 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 255022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392469624).

255022656 is an abundant number, since it is smaller than the sum of its proper divisors (529916592).

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

255022656 is a wasteful number, since it uses less digits than its factorization.

255022656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136 (or 27119 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 255022656 is about 15969.4287937922. The cubic root of 255022656 is about 634.1513502536.

The spelling of 255022656 in words is "two hundred fifty-five million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 27107 54214 81321 108428 162642 189749 216856 325284 379498 433712 569247 650568 758996 867424 1138494 1301136 1328243 1517992 1734848 2276988 2602272 2656486 3035984 3984729 4553976 5204544 5312972 6071968 7969458 9107952 10625944 12143936 15938916 18215904 21251888 31877832 36431808 42503776 63755664 85007552 127511328 255022656