220472000 has 224 divisors, whose sum is σ = 649199616. Its totient is φ = 72576000.

The previous prime is 220471981. The next prime is 220472023. The reversal of 220472000 is 274022.

220472000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 220472000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735937 + ... + 1736063.

Almost surely, 2^220472000 is an apocalyptic number.

220472000 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 220472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324599808).

220472000 is an abundant number, since it is smaller than the sum of its proper divisors (428727616).

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

220472000 is a wasteful number, since it uses less digits than its factorization.

220472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 220472000 is about 14848.2995659436. The cubic root of 220472000 is about 604.1124887341.

The spelling of 220472000 in words is "two hundred twenty million, four hundred seventy-two thousand".