22906033920 has 1728 divisors, whose sum is σ = 110199398400. Its totient is φ = 4335206400.

The previous prime is 22906033919. The next prime is 22906033967. The reversal of 22906033920 is 2933060922.

22906033920 is a `hidden beast` number, since 2 + 29 + 0 + 603 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738904305 + ... + 738904335.

It is an arithmetic number, because the mean of its divisors is an integer number (63772800).

Almost surely, 2^22906033920 is an apocalyptic number.

22906033920 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 22906033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55099699200).

22906033920 is an abundant number, since it is smaller than the sum of its proper divisors (87293364480).

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

22906033920 is a wasteful number, since it uses less digits than its factorization.

22906033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 22906033920 in words is "twenty-two billion, nine hundred six million, thirty-three thousand, nine hundred twenty".