22513000 has 64 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 8795200.

The previous prime is 22512989. The next prime is 22513027. The reversal of 22513000 is 31522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46761 + ... + 47239.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^22513000 is an apocalyptic number.

22513000 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 22513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

22513000 is an abundant number, since it is smaller than the sum of its proper divisors (31400600).

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

22513000 is a wasteful number, since it uses less digits than its factorization.

22513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 22513000 is about 4744.7866126940. The cubic root of 22513000 is about 282.3651691668.

Adding to 22513000 its reverse (31522), we get a palindrome (22544522).

It can be divided in two parts, 225 and 13000, that added together give a square (13225 = 115²).

The spelling of 22513000 in words is "twenty-two million, five hundred thirteen thousand".