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23255232 = 263711313
BaseRepresentation
bin101100010110…
…1100011000000
31121202111011220
41120231203000
521423131412
62150235040
7401444340
oct130554300
947674156
1023255232
1112144000
127955a80
134a82cc0
143134d20
15209568c
hex162d8c0

23255232 has 224 divisors, whose sum is σ = 83295744. Its totient is φ = 5575680.

The previous prime is 23255209. The next prime is 23255257.

23255232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×232552324 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (3600) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788858 + ... + 1788870.

It is an arithmetic number, because the mean of its divisors is an integer number (371856).

Almost surely, 223255232 is an apocalyptic number.

23255232 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 23255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41647872).

23255232 is an abundant number, since it is smaller than the sum of its proper divisors (60040512).

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

23255232 is a wasteful number, since it uses less digits than its factorization.

23255232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its digits is 3600, while the sum is 24.

The square root of 23255232 is about 4822.3678831047. The cubic root of 23255232 is about 285.4347811355.

It can be divided in two parts, 2325 and 5232, that added together give a palindrome (7557).

The spelling of 23255232 in words is "twenty-three million, two hundred fifty-five thousand, two hundred thirty-two".