222752 has 12 divisors (see below), whose sum is σ = 438606. Its totient is φ = 111360.

The previous prime is 222731. The next prime is 222773. The reversal of 222752 is 257222.

It is an interprime number because it is at equal distance from previous prime (222731) and next prime (222773).

It can be written as a sum of positive squares in only one way, i.e., 163216 + 59536 = 404^2 + 244^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222752.

It is an unprimeable number.

222752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3449 + ... + 3512.

2²²²⁷⁵² is an apocalyptic number.

It is an amenable number.

222752 is a deficient number, since it is larger than the sum of its proper divisors (215854).

222752 is an equidigital number, since it uses as much as digits as its factorization.

222752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6963 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 222752 is about 471.9661004776. The cubic root of 222752 is about 60.6187817337.

Adding to 222752 its reverse (257222), we get a palindrome (479974).

The spelling of 222752 in words is "two hundred twenty-two thousand, seven hundred fifty-two".