22705920 has 216 divisors, whose sum is σ = 82585776. Its totient is φ = 5971968.

The previous prime is 22705913. The next prime is 22705979. The reversal of 22705920 is 2950722.

It is a happy number.

22705920 is a `hidden beast` number, since 2 + 2 + 70 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311004 + ... + 311076.

Almost surely, 2^22705920 is an apocalyptic number.

22705920 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 22705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292888).

22705920 is an abundant number, since it is smaller than the sum of its proper divisors (59879856).

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

22705920 is an frugal number, since it uses more digits than its factorization.

22705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22705920 is about 4765.0729270390. The cubic root of 22705920 is about 283.1694307711.

The spelling of 22705920 in words is "twenty-two million, seven hundred five thousand, nine hundred twenty".