22466500 has 96 divisors (see below), whose sum is σ = 57657600. Its totient is φ = 7644000.

The previous prime is 22466497. The next prime is 22466501. The reversal of 22466500 is 566422.

22466500 = 65² + 66² + ... + 407².

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22466501) 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, 171435 + ... + 171565.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 2^22466500 is an apocalyptic number.

22466500 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 22466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828800).

22466500 is an abundant number, since it is smaller than the sum of its proper divisors (35191100).

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

22466500 is a wasteful number, since it uses less digits than its factorization.

22466500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 22466500 is about 4739.8839648245. The cubic root of 22466500 is about 282.1706292620.

The spelling of 22466500 in words is "twenty-two million, four hundred sixty-six thousand, five hundred".