223009225920 has 1344 divisors, whose sum is σ = 956187348480. Its totient is φ = 48874586112.

The previous prime is 223009225891. The next prime is 223009225963. The reversal of 223009225920 is 29522900322.

223009225920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×223009225920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326513899 + ... + 326514581.

It is an arithmetic number, because the mean of its divisors is an integer number (711448920).

Almost surely, 2^223009225920 is an apocalyptic number.

223009225920 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 223009225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478093674240).

223009225920 is an abundant number, since it is smaller than the sum of its proper divisors (733178122560).

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

223009225920 is a wasteful number, since it uses less digits than its factorization.

223009225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 223009225920 in words is "two hundred twenty-three billion, nine million, two hundred twenty-five thousand, nine hundred twenty".