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23333828 = 22737101223
BaseRepresentation
bin101100100000…
…0101111000100
31121220110222212
41121000233010
521433140303
62152042552
7402222440
oct131005704
947813885
1023333828
1112198061
127993458
134aac9cb
143155820
1520adad8
hex1640bc4

23333828 has 48 divisors (see below), whose sum is σ = 48620544. Its totient is φ = 9590400.

The previous prime is 23333819. The next prime is 23333831. The reversal of 23333828 is 82833332.

It is a junction number, because it is equal to n+sod(n) for n = 23333794 and 23333803.

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, 104525 + ... + 104747.

It is an arithmetic number, because the mean of its divisors is an integer number (1012928).

Almost surely, 223333828 is an apocalyptic number.

23333828 is a gapful number since it is divisible by the number (28) 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 23333828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310272).

23333828 is an abundant number, since it is smaller than the sum of its proper divisors (25286716).

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

23333828 is a wasteful number, since it uses less digits than its factorization.

23333828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 23333828 is about 4830.5101179896. The cubic root of 23333828 is about 285.7559820575.

The spelling of 23333828 in words is "twenty-three million, three hundred thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 37 74 101 148 202 223 259 404 446 518 707 892 1036 1414 1561 2828 3122 3737 6244 7474 8251 14948 16502 22523 26159 33004 45046 52318 57757 90092 104636 115514 157661 231028 315322 630644 833351 1666702 3333404 5833457 11666914 23333828