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23200424 = 2313415441
BaseRepresentation
bin101100010000…
…0001010101000
31121122200222222
41120200022220
521414403144
62145133212
7401125502
oct130401250
947580888
1023200424
1112106905
12792a208
134a64080
14311cd72
1520842ee
hex16202a8

23200424 has 32 divisors (see below), whose sum is σ = 47998440. Its totient is φ = 10444800.

The previous prime is 23200421. The next prime is 23200433. The reversal of 23200424 is 42400232.

It can be written as a sum of positive squares in 4 ways, for example, as 12376324 + 10824100 = 3518^2 + 3290^2 .

It is not an unprimeable number, because it can be changed into a prime (23200421) 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, 1544 + ... + 6984.

Almost surely, 223200424 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 23200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999220).

23200424 is an abundant number, since it is smaller than the sum of its proper divisors (24798016).

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

23200424 is a wasteful number, since it uses less digits than its factorization.

23200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 23200424 is about 4816.6818454201. The cubic root of 23200424 is about 285.2103668958.

Adding to 23200424 its reverse (42400232), we get a palindrome (65600656).

The spelling of 23200424 in words is "twenty-three million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 5441 10882 21764 43528 70733 141466 223081 282932 446162 565864 892324 1784648 2900053 5800106 11600212 23200424