222085920 has 192 divisors, whose sum is σ = 806512896. Its totient is φ = 50319360.

The previous prime is 222085873. The next prime is 222085931. The reversal of 222085920 is 29580222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527310 + ... + 527730.

It is an arithmetic number, because the mean of its divisors is an integer number (4200588).

Almost surely, 2^222085920 is an apocalyptic number.

222085920 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 222085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403256448).

222085920 is an abundant number, since it is smaller than the sum of its proper divisors (584426976).

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

222085920 is a wasteful number, since it uses less digits than its factorization.

222085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 222085920 is about 14902.5474332411. The cubic root of 222085920 is about 605.5830001621.

The spelling of 222085920 in words is "two hundred twenty-two million, eighty-five thousand, nine hundred twenty".