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153264231 = 361783149
BaseRepresentation
bin10010010001010…
…10000001100111
3101200101122000000
421020222001213
5303213423411
623112552343
73540503331
oct1110520147
9350348000
10153264231
117957175a
12433b26b3
13259a28c3
14164d8451
15d6c6956
hex922a067

153264231 has 56 divisors (see below), whose sum is σ = 247892400. Its totient is φ = 94369536.

The previous prime is 153264211. The next prime is 153264233. The reversal of 153264231 is 132462351.

153264231 is a `hidden beast` number, since 15 + 3 + 2 + 642 + 3 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-153264231 is a prime.

It is a super-2 number, since 2×1532642312 = 46979849008042722, 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 = 153264195 and 153264204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153264233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1028545 + ... + 1028693.

It is an arithmetic number, because the mean of its divisors is an integer number (4426650).

Almost surely, 2153264231 is an apocalyptic number.

153264231 is a deficient number, since it is larger than the sum of its proper divisors (94628169).

153264231 is an equidigital number, since it uses as much as digits as its factorization.

153264231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 153264231 is about 12379.9931744731. The cubic root of 153264231 is about 535.1558412861.

The spelling of 153264231 in words is "one hundred fifty-three million, two hundred sixty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 83 149 153 243 249 447 459 729 747 1341 1377 1411 2241 2533 4023 4131 4233 6723 7599 12069 12367 12393 12699 20169 22797 36207 37101 38097 60507 68391 108621 111303 114291 205173 210239 333909 342873 615519 630717 1001727 1028619 1846557 1892151 3005181 5676453 9015543 17029359 51088077 153264231