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23112400 = 245257781
BaseRepresentation
bin101100000101…
…0101011010000
31121111020020211
41120022223100
521404044100
62143213504
7400311043
oct130125320
947436224
1023112400
1112056763
1278a7294
134a32c9c
1430d8c5a
1520681ba
hex160aad0

23112400 has 30 divisors (see below), whose sum is σ = 55528502. Its totient is φ = 9244800.

The previous prime is 23112373. The next prime is 23112403. The reversal of 23112400 is 421132.

It can be written as a sum of positive squares in 3 ways, for example, as 3717184 + 19395216 = 1928^2 + 4404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28491 + ... + 29290.

Almost surely, 223112400 is an apocalyptic number.

23112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23112400 is an abundant number, since it is smaller than the sum of its proper divisors (32416102).

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

23112400 is a wasteful number, since it uses less digits than its factorization.

23112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57799 (or 57788 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 23112400 is about 4807.5357512971. The cubic root of 23112400 is about 284.8492071901.

Adding to 23112400 its reverse (421132), we get a palindrome (23533532).

The spelling of 23112400 in words is "twenty-three million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 57781 115562 231124 288905 462248 577810 924496 1155620 1444525 2311240 2889050 4622480 5778100 11556200 23112400