222559920 has 640 divisors, whose sum is σ = 964224000. Its totient is φ = 46448640.

The previous prime is 222559919. The next prime is 222559927. The reversal of 222559920 is 29955222.

222559920 is a `hidden beast` number, since 22 + 25 + 599 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (222559927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7674466 + ... + 7674494.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^222559920 is an apocalyptic number.

222559920 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 222559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

222559920 is an abundant number, since it is smaller than the sum of its proper divisors (741664080).

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

222559920 is a wasteful number, since it uses less digits than its factorization.

222559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 222559920 is about 14918.4422779324. The cubic root of 222559920 is about 606.0135277835.

The spelling of 222559920 in words is "two hundred twenty-two million, five hundred fifty-nine thousand, nine hundred twenty".