222252672 has 64 divisors (see below), whose sum is σ = 594423360. Its totient is φ = 73574400.

The previous prime is 222252659. The next prime is 222252743. The reversal of 222252672 is 276252222.

222252672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×222252672² = 98792500422279168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56068 + ... + 59900.

It is an arithmetic number, because the mean of its divisors is an integer number (9287865).

Almost surely, 2^222252672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297211680).

222252672 is an abundant number, since it is smaller than the sum of its proper divisors (372170688).

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

222252672 is a wasteful number, since it uses less digits than its factorization.

222252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3989 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 222252672 is about 14908.1411316099. The cubic root of 222252672 is about 605.7345284730.

The spelling of 222252672 in words is "two hundred twenty-two million, two hundred fifty-two thousand, six hundred seventy-two".