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23200072 = 237974271
BaseRepresentation
bin101100010000…
…0000101001000
31121122200111221
41120200011020
521414400242
62145131424
7401124460
oct130400510
947580457
1023200072
1112106615
127929b74
134a63b6c
14311cba0
152084167
hex1620148

23200072 has 32 divisors (see below), whose sum is σ = 50238720. Its totient is φ = 9838080.

The previous prime is 23200063. The next prime is 23200097. The reversal of 23200072 is 27000232.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3297 + ... + 7567.

It is an arithmetic number, because the mean of its divisors is an integer number (1569960).

Almost surely, 223200072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23200072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119360).

23200072 is an abundant number, since it is smaller than the sum of its proper divisors (27038648).

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

23200072 is a wasteful number, since it uses less digits than its factorization.

23200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 23200072 is about 4816.6453056043. The cubic root of 23200072 is about 285.2089244716.

The spelling of 23200072 in words is "twenty-three million, two hundred thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 4271 5432 8542 17084 29897 34168 59794 119588 239176 414287 828574 1657148 2900009 3314296 5800018 11600036 23200072