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23182824 = 2337137993
BaseRepresentation
bin101100001101…
…1110111101000
31121121210212010
41120123313220
521413322244
62144515520
7401023260
oct130336750
947553763
1023182824
11120a4665
12791bba0
134a59062
1431167a0
15207deb9
hex161bde8

23182824 has 32 divisors (see below), whose sum is σ = 66237120. Its totient is φ = 6623616.

The previous prime is 23182807. The next prime is 23182843. The reversal of 23182824 is 42828132.

It is a super-2 number, since 2×231828242 = 1074886657229952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23182791 and 23182800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68829 + ... + 69164.

It is an arithmetic number, because the mean of its divisors is an integer number (2069910).

Almost surely, 223182824 is an apocalyptic number.

23182824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23182824 is an abundant number, since it is smaller than the sum of its proper divisors (43054296).

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

23182824 is a wasteful number, since it uses less digits than its factorization.

23182824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138009 (or 138005 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 23182824 is about 4814.8545149360. The cubic root of 23182824 is about 285.1382278073.

The spelling of 23182824 in words is "twenty-three million, one hundred eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 137993 275986 413979 551972 827958 965951 1103944 1655916 1931902 2897853 3311832 3863804 5795706 7727608 11591412 23182824