220957200 has 240 divisors, whose sum is σ = 807240000. Its totient is φ = 57369600.

The previous prime is 220957193. The next prime is 220957201. The reversal of 220957200 is 2759022.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220957201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442551 + ... + 443049.

It is an arithmetic number, because the mean of its divisors is an integer number (3363500).

Almost surely, 2^220957200 is an apocalyptic number.

220957200 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 220957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403620000).

220957200 is an abundant number, since it is smaller than the sum of its proper divisors (586282800).

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

220957200 is a wasteful number, since it uses less digits than its factorization.

220957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 220957200 is about 14864.6291578364. The cubic root of 220957200 is about 604.5553274606. Note that the first 3 decimals are identical.

The spelling of 220957200 in words is "two hundred twenty million, nine hundred fifty-seven thousand, two hundred".