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23132200 = 23527133141
BaseRepresentation
bin101100000111…
…1100000101000
31121112020102011
41120033200220
521410212300
62143445304
7400422550
oct130174050
947466364
1023132200
111206a623
1278b6834
134a3bcc0
143102160
15206deba
hex160f828

23132200 has 192 divisors, whose sum is σ = 69995520. Its totient is φ = 6912000.

The previous prime is 23132173. The next prime is 23132203. The reversal of 23132200 is 223132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (23132203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564180 + ... + 564220.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 223132200 is an apocalyptic number.

23132200 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 23132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

23132200 is an abundant number, since it is smaller than the sum of its proper divisors (46863320).

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

23132200 is a wasteful number, since it uses less digits than its factorization.

23132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23132200 is about 4809.5945775086. The cubic root of 23132200 is about 284.9305257968.

Adding to 23132200 its reverse (223132), we get a palindrome (23355332).

It can be divided in two parts, 23132 and 200, that added together give a palindrome (23332).

The spelling of 23132200 in words is "twenty-three million, one hundred thirty-two thousand, two hundred".