22829520 has 160 divisors (see below), whose sum is σ = 82280448. Its totient is φ = 5128704.

The previous prime is 22829461. The next prime is 22829531. The reversal of 22829520 is 2592822.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 179697 + ... + 179823.

Almost surely, 2^22829520 is an apocalyptic number.

22829520 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 22829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224).

22829520 is an abundant number, since it is smaller than the sum of its proper divisors (59450928).

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

22829520 is a wasteful number, since it uses less digits than its factorization.

22829520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 22829520 is about 4778.0246964619. The cubic root of 22829520 is about 283.6823135466.

The spelling of 22829520 in words is "twenty-two million, eight hundred twenty-nine thousand, five hundred twenty".