220280292 has 72 divisors (see below), whose sum is σ = 584123904. Its totient is φ = 69860736.

The previous prime is 220280239. The next prime is 220280309. The reversal of 220280292 is 292082022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184048 + ... + 185240.

It is an arithmetic number, because the mean of its divisors is an integer number (8112832).

Almost surely, 2^220280292 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 220280292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292061952).

220280292 is an abundant number, since it is smaller than the sum of its proper divisors (363843612).

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

220280292 is a wasteful number, since it uses less digits than its factorization.

220280292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220280292 is about 14841.8426079783. The cubic root of 220280292 is about 603.9373390838.

The spelling of 220280292 in words is "two hundred twenty million, two hundred eighty thousand, two hundred ninety-two".