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153362231 = 11532331129
BaseRepresentation
bin10010010010000…
…01111100110111
3101200120121102122
421021001330313
5303230042411
623115030155
73541362131
oct1111017467
9350517378
10153362231
1179629350
124343b35b
1325a083a9
1416522051
15d6e59db
hex9241f37

153362231 has 16 divisors (see below), whose sum is σ = 171344160. Its totient is φ = 136081920.

The previous prime is 153362221. The next prime is 153362233. The reversal of 153362231 is 132263351.

153362231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153362231 is a prime.

It is a super-2 number, since 2×1533622312 = 47039947794594722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 153362231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153362233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135275 + ... + 136403.

It is an arithmetic number, because the mean of its divisors is an integer number (10709010).

Almost surely, 2153362231 is an apocalyptic number.

153362231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153362231 is the 6620-th centered heptagonal number.

153362231 is a deficient number, since it is larger than the sum of its proper divisors (17981929).

153362231 is a wasteful number, since it uses less digits than its factorization.

153362231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426.

The product of its digits is 3240, while the sum is 26.

The square root of 153362231 is about 12383.9505409219. The cubic root of 153362231 is about 535.2698798497.

The spelling of 153362231 in words is "one hundred fifty-three million, three hundred sixty-two thousand, two hundred thirty-one".

Divisors: 1 11 53 233 583 1129 2563 12349 12419 59837 135839 263057 658207 2893627 13942021 153362231