22746900 has 144 divisors (see below), whose sum is σ = 73620288. Its totient is φ = 5376000.

The previous prime is 22746881. The next prime is 22746907. The reversal of 22746900 is 964722.

It is a happy number.

It is a super-2 number, since 2×22746900² = 1034842919220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22746907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201244 + ... + 201356.

It is an arithmetic number, because the mean of its divisors is an integer number (511252).

Almost surely, 2^22746900 is an apocalyptic number.

22746900 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 22746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810144).

22746900 is an abundant number, since it is smaller than the sum of its proper divisors (50873388).

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

22746900 is a wasteful number, since it uses less digits than its factorization.

22746900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 22746900 is about 4769.3710277142. The cubic root of 22746900 is about 283.3396845943.

The spelling of 22746900 in words is "twenty-two million, seven hundred forty-six thousand, nine hundred".