22202449920 has 640 divisors, whose sum is σ = 91350547200. Its totient is φ = 5053612032.

The previous prime is 22202449873. The next prime is 22202449961. The reversal of 22202449920 is 2994420222.

22202449920 is a `hidden beast` number, since 2 + 2 + 202 + 449 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897161 + ... + 92897399.

It is an arithmetic number, because the mean of its divisors is an integer number (142735230).

Almost surely, 2^22202449920 is an apocalyptic number.

22202449920 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 22202449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45675273600).

22202449920 is an abundant number, since it is smaller than the sum of its proper divisors (69148097280).

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

22202449920 is an frugal number, since it uses more digits than its factorization.

22202449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22202449920 in words is "twenty-two billion, two hundred two million, four hundred forty-nine thousand, nine hundred twenty".