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23112000 = 263353107
BaseRepresentation
bin101100000101…
…0100101000000
31121111012201000
41120022211000
521404041000
62143212000
7400306632
oct130124500
947435630
1023112000
111205642a
1278a7000
134a32a52
1430d8a52
152068000
hex160a940

23112000 has 224 divisors, whose sum is σ = 85587840. Its totient is φ = 6105600.

The previous prime is 23111983. The next prime is 23112007. The reversal of 23112000 is 21132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215947 + ... + 216053.

Almost surely, 223112000 is an apocalyptic number.

23112000 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 23112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793920).

23112000 is an abundant number, since it is smaller than the sum of its proper divisors (62475840).

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

23112000 is a wasteful number, since it uses less digits than its factorization.

23112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 23112000 is about 4807.4941497624. The cubic root of 23112000 is about 284.8475639114.

Adding to 23112000 its reverse (21132), we get a palindrome (23133132).

The spelling of 23112000 in words is "twenty-three million, one hundred twelve thousand".