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23320900 = 22521012309
BaseRepresentation
bin101100011110…
…1100101000100
31121212211021001
41120331211010
521432232100
62151503044
7402136651
oct130754504
947784231
1023320900
1112189379
127987a84
134aa6b65
143150c28
1520a9d6a
hex163d944

23320900 has 36 divisors (see below), whose sum is σ = 51129540. Its totient is φ = 9232000.

The previous prime is 23320861. The next prime is 23320933. The reversal of 23320900 is 902332.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 20811844 = 1584^2 + 4562^2 .

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, 8946 + ... + 11254.

It is an arithmetic number, because the mean of its divisors is an integer number (1420265).

Almost surely, 223320900 is an apocalyptic number.

23320900 is a gapful number since it is divisible by the number (20) 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 23320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25564770).

23320900 is an abundant number, since it is smaller than the sum of its proper divisors (27808640).

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

23320900 is a wasteful number, since it uses less digits than its factorization.

23320900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 23320900 is about 4829.1717716395. The cubic root of 23320900 is about 285.7031983793.

The spelling of 23320900 in words is "twenty-three million, three hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2309 2525 4618 5050 9236 10100 11545 23090 46180 57725 115450 230900 233209 466418 932836 1166045 2332090 4664180 5830225 11660450 23320900