222465984 has 112 divisors (see below), whose sum is σ = 667390080. Its totient is φ = 64834560.

The previous prime is 222465973. The next prime is 222466001. The reversal of 222465984 is 489564222.

It is a super-2 number, since 2×222465984² = 98982228074176512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45079 + ... + 49769.

It is an arithmetic number, because the mean of its divisors is an integer number (5958840).

Almost surely, 2^222465984 is an apocalyptic number.

222465984 is a gapful number since it is divisible by the number (24) 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 222465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333695040).

222465984 is an abundant number, since it is smaller than the sum of its proper divisors (444924096).

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

222465984 is a wasteful number, since it uses less digits than its factorization.

222465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4728 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 222465984 is about 14915.2936276830. The cubic root of 222465984 is about 605.9282556201.

The spelling of 222465984 in words is "two hundred twenty-two million, four hundred sixty-five thousand, nine hundred eighty-four".