Search a number
-
+
231626016 = 25322927733
BaseRepresentation
bin11011100111001…
…01010100100000
3121010211211011100
431303211110200
5433244013031
634552314400
75511534336
oct1563452440
9533754140
10231626016
11109824066
12656a2a00
1338cab41b
1422a95b56
1515504de6
hexdce5520

231626016 has 72 divisors (see below), whose sum is σ = 681424380. Its totient is φ = 74543616.

The previous prime is 231625973. The next prime is 231626023. The reversal of 231626016 is 610626132.

231626016 is a `hidden beast` number, since 2 + 31 + 626 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226803600 + 4822416 = 15060^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2316260162 = 107301222576064512, which contains 22 as substring.

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, 5515 + ... + 22218.

Almost surely, 2231626016 is an apocalyptic number.

It is an amenable number.

231626016 is an abundant number, since it is smaller than the sum of its proper divisors (449798364).

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

231626016 is a wasteful number, since it uses less digits than its factorization.

231626016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27778 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 231626016 is about 15219.2646340091. The cubic root of 231626016 is about 614.1330159177.

The spelling of 231626016 in words is "two hundred thirty-one million, six hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 27733 55466 83199 110932 166398 221864 249597 332796 443728 499194 665592 804257 887456 998388 1331184 1608514 1996776 2412771 2662368 3217028 3993552 4825542 6434056 7238313 7987104 9651084 12868112 14476626 19302168 25736224 28953252 38604336 57906504 77208672 115813008 231626016