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204164631 = 3411237563
BaseRepresentation
bin11000010101101…
…00111000010111
3112020011122020000
430022310320113
5404231232011
632131542343
75026241106
oct1412647027
9466148200
10204164631
11a5277a00
125845a9b3
13333b4a98
141d18803d
1512dcd356
hexc2b4e17

204164631 has 60 divisors (see below), whose sum is σ = 344905176. Its totient is φ = 120178080.

The previous prime is 204164617. The next prime is 204164641. The reversal of 204164631 is 136461402.

204164631 is a `hidden beast` number, since 20 + 4 + 1 + 6 + 4 + 631 = 666.

204164631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204164631 - 25 = 204164599 is a prime.

It is a super-2 number, since 2×2041646312 = 83366393102732322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204164595 and 204164604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204164641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 362356 + ... + 362918.

Almost surely, 2204164631 is an apocalyptic number.

204164631 is a deficient number, since it is larger than the sum of its proper divisors (140740545).

204164631 is a wasteful number, since it uses less digits than its factorization.

204164631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 204164631 is about 14288.6189325631. The cubic root of 204164631 is about 588.8348459813.

The spelling of 204164631 in words is "two hundred four million, one hundred sixty-four thousand, six hundred thirty-one".

Divisors: 1 3 9 11 27 33 37 81 99 111 121 297 333 363 407 563 891 999 1089 1221 1689 2997 3267 3663 4477 5067 6193 9801 10989 13431 15201 18579 20831 32967 40293 45603 55737 62493 68123 120879 167211 187479 204369 229141 362637 501633 562437 613107 687423 1687311 1839321 2062269 2520551 5517963 6186807 7561653 18560421 22684959 68054877 204164631