220882800 has 240 divisors, whose sum is σ = 757237248. Its totient is φ = 54912000.

The previous prime is 220882799. The next prime is 220882801. The reversal of 220882800 is 8288022.

220882800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220882799) and next prime (220882801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220882800² = 97578422671680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220882801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462725 + ... + 1462875.

Almost surely, 2^220882800 is an apocalyptic number.

220882800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378618624).

220882800 is an abundant number, since it is smaller than the sum of its proper divisors (536354448).

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

220882800 is a wasteful number, since it uses less digits than its factorization.

220882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 220882800 is about 14862.1263619981. The cubic root of 220882800 is about 604.4874651994.

The spelling of 220882800 in words is "two hundred twenty million, eight hundred eighty-two thousand, eight hundred".