220264200 has 144 divisors (see below), whose sum is σ = 796706820. Its totient is φ = 54213120.

The previous prime is 220264183. The next prime is 220264201. The reversal of 220264200 is 2462022.

It is a happy number.

220264200 is a `hidden beast` number, since 2 + 20 + 2 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 117809316 + 102454884 = 10854^2 + 10122^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220264201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18694 + ... + 28106.

Almost surely, 2^220264200 is an apocalyptic number.

220264200 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 220264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398353410).

220264200 is an abundant number, since it is smaller than the sum of its proper divisors (576442620).

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

220264200 is a wasteful number, since it uses less digits than its factorization.

220264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220264200 is about 14841.3004821006. The cubic root of 220264200 is about 603.9226323720.

The spelling of 220264200 in words is "two hundred twenty million, two hundred sixty-four thousand, two hundred".