22951764 has 72 divisors (see below), whose sum is σ = 63947520. Its totient is φ = 6940560.

The previous prime is 22951763. The next prime is 22951771. The reversal of 22951764 is 46715922.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22951763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47677 + ... + 48155.

It is an arithmetic number, because the mean of its divisors is an integer number (888160).

Almost surely, 2^22951764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22951764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973760).

22951764 is an abundant number, since it is smaller than the sum of its proper divisors (40995756).

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

22951764 is a wasteful number, since it uses less digits than its factorization.

22951764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 22951764 is about 4790.7999332053. The cubic root of 22951764 is about 284.1877519329.

The spelling of 22951764 in words is "twenty-two million, nine hundred fifty-one thousand, seven hundred sixty-four".