220912000 has 64 divisors (see below), whose sum is σ = 549282240. Its totient is φ = 88358400.

The previous prime is 220911979. The next prime is 220912007. The reversal of 220912000 is 219022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×220912000² = 97604223488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220912007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9097 + ... + 22903.

It is an arithmetic number, because the mean of its divisors is an integer number (8582535).

Almost surely, 2^220912000 is an apocalyptic number.

220912000 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 220912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274641120).

220912000 is an abundant number, since it is smaller than the sum of its proper divisors (328370240).

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

220912000 is an equidigital number, since it uses as much as digits as its factorization.

220912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 220912000 is about 14863.1086923295. The cubic root of 220912000 is about 604.5141011291.

The spelling of 220912000 in words is "two hundred twenty million, nine hundred twelve thousand".