22312920 has 128 divisors (see below), whose sum is σ = 77552640. Its totient is φ = 5030400.

The previous prime is 22312909. The next prime is 22312931. The reversal of 22312920 is 2921322.

It is an interprime number because it is at equal distance from previous prime (22312909) and next prime (22312931).

It is a super-3 number, since 3×22312920³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84709 + ... + 84971.

It is an arithmetic number, because the mean of its divisors is an integer number (605880).

Almost surely, 2^22312920 is an apocalyptic number.

22312920 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 22312920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38776320).

22312920 is an abundant number, since it is smaller than the sum of its proper divisors (55239720).

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

22312920 is a wasteful number, since it uses less digits than its factorization.

22312920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22312920 is about 4723.6553642280. The cubic root of 22312920 is about 281.5261899249.

It can be divided in two parts, 22312 and 920, that added together give a palindrome (23232).

The spelling of 22312920 in words is "twenty-two million, three hundred twelve thousand, nine hundred twenty".