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23131200 = 263526179
BaseRepresentation
bin101100000111…
…1010001000000
31121112012001010
41120033101000
521410144300
62143440520
7400416621
oct130172100
947465033
1023131200
11120698a4
1278b6140
134a3b701
143101a48
15206da50
hex160f440

23131200 has 168 divisors, whose sum is σ = 78110080. Its totient is φ = 5990400.

The previous prime is 23131193. The next prime is 23131211. The reversal of 23131200 is 213132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292761 + ... + 292839.

Almost surely, 223131200 is an apocalyptic number.

23131200 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 23131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39055040).

23131200 is an abundant number, since it is smaller than the sum of its proper divisors (54978880).

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

23131200 is a wasteful number, since it uses less digits than its factorization.

23131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23131200 is about 4809.4906175187. The cubic root of 23131200 is about 284.9264199093.

Adding to 23131200 its reverse (213132), we get a palindrome (23344332).

The spelling of 23131200 in words is "twenty-three million, one hundred thirty-one thousand, two hundred".