22829920 has 48 divisors (see below), whose sum is σ = 54528768. Its totient is φ = 9031680.

The previous prime is 22829881. The next prime is 22829923. The reversal of 22829920 is 2992822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22829923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14785 + ... + 16255.

It is an arithmetic number, because the mean of its divisors is an integer number (1136016).

Almost surely, 2^22829920 is an apocalyptic number.

22829920 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 22829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27264384).

22829920 is an abundant number, since it is smaller than the sum of its proper divisors (31698848).

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

22829920 is a wasteful number, since it uses less digits than its factorization.

22829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 22829920 is about 4778.0665545804. The cubic root of 22829920 is about 283.6839703526.

The spelling of 22829920 in words is "twenty-two million, eight hundred twenty-nine thousand, nine hundred twenty".