Search a number
-
+
23200368 = 2431925439
BaseRepresentation
bin101100010000…
…0001001110000
31121122200220220
41120200021300
521414402433
62145133040
7401125362
oct130401160
947580826
1023200368
1112106864
12792a180
134a64039
14311cd32
1520842b3
hex1620270

23200368 has 40 divisors (see below), whose sum is σ = 63091200. Its totient is φ = 7326144.

The previous prime is 23200367. The next prime is 23200381. The reversal of 23200368 is 86300232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11808 + ... + 13631.

It is an arithmetic number, because the mean of its divisors is an integer number (1577280).

Almost surely, 223200368 is an apocalyptic number.

It is an amenable number.

23200368 is an abundant number, since it is smaller than the sum of its proper divisors (39890832).

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

23200368 is a wasteful number, since it uses less digits than its factorization.

23200368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25469 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23200368 is about 4816.6760322862. The cubic root of 23200368 is about 285.2101374202.

The spelling of 23200368 in words is "twenty-three million, two hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 25439 50878 76317 101756 152634 203512 305268 407024 483341 610536 966682 1221072 1450023 1933364 2900046 3866728 5800092 7733456 11600184 23200368