220936896 has 280 divisors, whose sum is σ = 730239840. Its totient is φ = 65691648.

The previous prime is 220936889. The next prime is 220936901. The reversal of 220936896 is 698639022.

It is a super-2 number, since 2×220936896² = 97626224028229632, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 2026890 + ... + 2026998.

Almost surely, 2^220936896 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 220936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365119920).

220936896 is an abundant number, since it is smaller than the sum of its proper divisors (509302944).

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

220936896 is a wasteful number, since it uses less digits than its factorization.

220936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 220936896 is about 14863.9461785893. The cubic root of 220936896 is about 604.5368091422.

The spelling of 220936896 in words is "two hundred twenty million, nine hundred thirty-six thousand, eight hundred ninety-six".