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232023024 = 24324993229
BaseRepresentation
bin11011101010001…
…10001111110000
3121011120222202100
431311012033300
5433344214044
635005020400
75515106652
oct1565061760
9534528670
10232023024
11109a75372
1265854700
13390ba03c
1422b5a6d2
1515582869
hexdd463f0

232023024 has 60 divisors (see below), whose sum is σ = 650845000. Its totient is φ = 77162112.

The previous prime is 232023019. The next prime is 232023037. The reversal of 232023024 is 420320232.

It is a super-2 number, since 2×2320230242 = 107669367332209152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 232022988 and 232023006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70242 + ... + 73470.

Almost surely, 2232023024 is an apocalyptic number.

232023024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232023024 is an abundant number, since it is smaller than the sum of its proper divisors (418821976).

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

232023024 is a wasteful number, since it uses less digits than its factorization.

232023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232023024 is about 15232.3019928046. The cubic root of 232023024 is about 614.4836911954.

Adding to 232023024 its reverse (420320232), we get a palindrome (652343256).

The spelling of 232023024 in words is "two hundred thirty-two million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 499 998 1497 1996 2994 3229 3992 4491 5988 6458 7984 8982 9687 11976 12916 17964 19374 23952 25832 29061 35928 38748 51664 58122 71856 77496 116244 154992 232488 464976 1611271 3222542 4833813 6445084 9667626 12890168 14501439 19335252 25780336 29002878 38670504 58005756 77341008 116011512 232023024