22813320 has 128 divisors (see below), whose sum is σ = 74183040. Its totient is φ = 5591040.

The previous prime is 22813313. The next prime is 22813321. The reversal of 22813320 is 2331822.

It is a super-3 number, since 3×22813320³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22813321) 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, 108015 + ... + 108225.

It is an arithmetic number, because the mean of its divisors is an integer number (579555).

Almost surely, 2^22813320 is an apocalyptic number.

22813320 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 22813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37091520).

22813320 is an abundant number, since it is smaller than the sum of its proper divisors (51369720).

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

22813320 is a wasteful number, since it uses less digits than its factorization.

22813320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22813320 is about 4776.3291343876. The cubic root of 22813320 is about 283.6151966303.

The spelling of 22813320 in words is "twenty-two million, eight hundred thirteen thousand, three hundred twenty".