220950400 has 96 divisors (see below), whose sum is σ = 595531080. Its totient is φ = 80332800.

The previous prime is 220950349. The next prime is 220950427. The reversal of 220950400 is 4059022.

It is a happy number.

220950400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32062 + ... + 38338.

Almost surely, 2^220950400 is an apocalyptic number.

220950400 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 220950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297765540).

220950400 is an abundant number, since it is smaller than the sum of its proper divisors (374580680).

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

220950400 is a wasteful number, since it uses less digits than its factorization.

220950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 220950400 is about 14864.4004251769. The cubic root of 220950400 is about 604.5491256285.

The spelling of 220950400 in words is "two hundred twenty million, nine hundred fifty thousand, four hundred".