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23155132 = 22711135783
BaseRepresentation
bin101100001010…
…1000110111100
31121120101212111
41120111012330
521411431012
62144143404
7400546450
oct130250674
947511774
1023155132
1112085880
127907b64
134a49580
14310a660
152075ba7
hex16151bc

23155132 has 48 divisors (see below), whose sum is σ = 54415872. Its totient is φ = 8326080.

The previous prime is 23155127. The next prime is 23155147.

23155132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 6895.

It is an arithmetic number, because the mean of its divisors is an integer number (1133664).

Almost surely, 223155132 is an apocalyptic number.

23155132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23155132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27207936).

23155132 is an abundant number, since it is smaller than the sum of its proper divisors (31260740).

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

23155132 is a wasteful number, since it uses less digits than its factorization.

23155132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5816 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 23155132 is about 4811.9779716869. The cubic root of 23155132 is about 285.0246495557.

It can be divided in two parts, 2315 and 5132, that added together give a palindrome (7447).

The spelling of 23155132 in words is "twenty-three million, one hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5783 11566 23132 40481 63613 75179 80962 127226 150358 161924 254452 300716 445291 526253 826969 890582 1052506 1653938 1781164 2105012 3307876 5788783 11577566 23155132