222286752 has 144 divisors (see below), whose sum is σ = 653332680. Its totient is φ = 71663616.

The previous prime is 222286721. The next prime is 222286783. The reversal of 222286752 is 257682222.

It is an interprime number because it is at equal distance from previous prime (222286721) and next prime (222286783).

It can be written as a sum of positive squares in 4 ways, for example, as 204947856 + 17338896 = 14316^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×222286752² = 98822800229419008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2039274 + ... + 2039382.

Almost surely, 2^222286752 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 222286752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326666340).

222286752 is an abundant number, since it is smaller than the sum of its proper divisors (431045928).

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

222286752 is a wasteful number, since it uses less digits than its factorization.

222286752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 222286752 is about 14909.2840874403. The cubic root of 222286752 is about 605.7654877973.

The spelling of 222286752 in words is "two hundred twenty-two million, two hundred eighty-six thousand, seven hundred fifty-two".