222139920 has 80 divisors (see below), whose sum is σ = 694812672. Its totient is φ = 58705920.

The previous prime is 222139909. The next prime is 222139921. The reversal of 222139920 is 29931222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×222139920² = 98692288115212800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (222139921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23025 + ... + 31215.

Almost surely, 2^222139920 is an apocalyptic number.

222139920 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 222139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347406336).

222139920 is an abundant number, since it is smaller than the sum of its proper divisors (472672752).

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

222139920 is a wasteful number, since it uses less digits than its factorization.

222139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 222139920 is about 14904.3590939027. The cubic root of 222139920 is about 605.6320785127.

The spelling of 222139920 in words is "two hundred twenty-two million, one hundred thirty-nine thousand, nine hundred twenty".