220292 has 6 divisors (see below), whose sum is σ = 385518. Its totient is φ = 110144.

The previous prime is 220291. The next prime is 220301. The reversal of 220292 is 292022.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 217156 + 3136 = 466^2 + 56^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220292.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220292.

It is not an unprimeable number, because it can be changed into a prime (220291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27533 + ... + 27540.

It is an arithmetic number, because the mean of its divisors is an integer number (64253).

2²²⁰²⁹² is an apocalyptic number.

It is an amenable number.

220292 is a deficient number, since it is larger than the sum of its proper divisors (165226).

220292 is a wasteful number, since it uses less digits than its factorization.

220292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55077 (or 55075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 220292 is about 469.3527458107. The cubic root of 220292 is about 60.3948038744.

It can be divided in two parts, 220 and 292, that added together give a 9-th power (512 = 2⁹).

The spelling of 220292 in words is "two hundred twenty thousand, two hundred ninety-two".