22981600 has 72 divisors (see below), whose sum is σ = 58590000. Its totient is φ = 8785920.

The previous prime is 22981591. The next prime is 22981619. The reversal of 22981600 is 618922.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17776 + ... + 19024.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 2^22981600 is an apocalyptic number.

22981600 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 22981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295000).

22981600 is an abundant number, since it is smaller than the sum of its proper divisors (35608400).

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

22981600 is a wasteful number, since it uses less digits than its factorization.

22981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 22981600 is about 4793.9128068833. The cubic root of 22981600 is about 284.3108413003.

The spelling of 22981600 in words is "twenty-two million, nine hundred eighty-one thousand, six hundred".