220802952 has 64 divisors (see below), whose sum is σ = 582912000. Its totient is φ = 69505344.

The previous prime is 220802909. The next prime is 220802963. The reversal of 220802952 is 259208022.

It is a super-2 number, since 2×220802952² = 97507887223828608, which contains 22 as substring.

220802952 is a modest number, since divided by 2952 gives 2208 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 199633 + ... + 200735.

It is an arithmetic number, because the mean of its divisors is an integer number (9108000).

Almost surely, 2^220802952 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 220802952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291456000).

220802952 is an abundant number, since it is smaller than the sum of its proper divisors (362109048).

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

220802952 is a wasteful number, since it uses less digits than its factorization.

220802952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 220802952 is about 14859.4398279343. The cubic root of 220802952 is about 604.4146167138.

The spelling of 220802952 in words is "two hundred twenty million, eight hundred two thousand, nine hundred fifty-two".