22129920 has 216 divisors, whose sum is σ = 81788616. Its totient is φ = 5505024.

The previous prime is 22129901. The next prime is 22129931. The reversal of 22129920 is 2992122.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 21678336 = 672^2 + 4656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195784 + ... + 195896.

It is an arithmetic number, because the mean of its divisors is an integer number (378651).

Almost surely, 2^22129920 is an apocalyptic number.

22129920 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 22129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894308).

22129920 is an abundant number, since it is smaller than the sum of its proper divisors (59658696).

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

22129920 is a wasteful number, since it uses less digits than its factorization.

22129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22129920 is about 4704.2448915846. The cubic root of 22129920 is about 280.7544280392.

The spelling of 22129920 in words is "twenty-two million, one hundred twenty-nine thousand, nine hundred twenty".