223039825920 has 576 divisors, whose sum is σ = 846883674000. Its totient is φ = 54037315584.

The previous prime is 223039825907. The next prime is 223039825973. The reversal of 223039825920 is 29528930322.

223039825920 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 398 + 259 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 197306532864 + 25733293056 = 444192^2 + 160416^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45432426 + ... + 45437334.

Almost surely, 2^223039825920 is an apocalyptic number.

223039825920 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 223039825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423441837000).

223039825920 is an abundant number, since it is smaller than the sum of its proper divisors (623843848080).

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

223039825920 is a wasteful number, since it uses less digits than its factorization.

223039825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 223039825920 in words is "two hundred twenty-three billion, thirty-nine million, eight hundred twenty-five thousand, nine hundred twenty".