222319920 has 80 divisors (see below), whose sum is σ = 693928800. Its totient is φ = 58877952.

The previous prime is 222319913. The next prime is 222319921. The reversal of 222319920 is 29913222.

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 2×222319920² = 98852293657612800, 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 (222319921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32652 + ... + 38868.

It is an arithmetic number, because the mean of its divisors is an integer number (8674110).

Almost surely, 2^222319920 is an apocalyptic number.

222319920 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 222319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346964400).

222319920 is an abundant number, since it is smaller than the sum of its proper divisors (471608880).

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

222319920 is a wasteful number, since it uses less digits than its factorization.

222319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6376 counting only the distinct ones).

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

The square root of 222319920 is about 14910.3963730010. The cubic root of 222319920 is about 605.7956155944.

The spelling of 222319920 in words is "two hundred twenty-two million, three hundred nineteen thousand, nine hundred twenty".