22431264 has 72 divisors (see below), whose sum is σ = 60787440. Its totient is φ = 7242240.

The previous prime is 22431263. The next prime is 22431271. The reversal of 22431264 is 46213422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22431263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161307 + ... + 161445.

It is an arithmetic number, because the mean of its divisors is an integer number (844270).

Almost surely, 2^22431264 is an apocalyptic number.

22431264 is a gapful number since it is divisible by the number (24) 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 22431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30393720).

22431264 is an abundant number, since it is smaller than the sum of its proper divisors (38356176).

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

22431264 is a wasteful number, since it uses less digits than its factorization.

22431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 185 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 22431264 is about 4736.1655376475. The cubic root of 22431264 is about 282.0230351889.

Adding to 22431264 its reverse (46213422), we get a palindrome (68644686).

The spelling of 22431264 in words is "twenty-two million, four hundred thirty-one thousand, two hundred sixty-four".