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23133132 = 22321158417
BaseRepresentation
bin101100000111…
…1101111001100
31121112021200200
41120033233030
521410230012
62143453500
7400425351
oct130175714
947467620
1023133132
11120702a0
1278b7290
134a3c559
143102628
15206e3dc
hex160fbcc

23133132 has 36 divisors (see below), whose sum is σ = 63792456. Its totient is φ = 7009920.

The previous prime is 23133109. The next prime is 23133139.

23133132 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×231331322 = 1070283592258848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23133139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28813 + ... + 29604.

Almost surely, 223133132 is an apocalyptic number.

23133132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23133132 is an abundant number, since it is smaller than the sum of its proper divisors (40659324).

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

23133132 is a wasteful number, since it uses less digits than its factorization.

23133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58438 (or 58433 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 23133132 is about 4809.6914661961. The cubic root of 23133132 is about 284.9343523774.

It can be divided in two parts, 2313 and 3132, that added together give a palindrome (5445).

The spelling of 23133132 in words is "twenty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 58417 116834 175251 233668 350502 525753 642587 701004 1051506 1285174 1927761 2103012 2570348 3855522 5783283 7711044 11566566 23133132