222828800 has 108 divisors (see below), whose sum is σ = 567044436. Its totient is φ = 86630400.

The previous prime is 222828799. The next prime is 222828803. The reversal of 222828800 is 8828222.

It is a happy number.

222828800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 4734976 + 218093824 = 2176^2 + 14768^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (222828803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236330 + ... + 237270.

Almost surely, 2^222828800 is an apocalyptic number.

222828800 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 222828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283522218).

222828800 is an abundant number, since it is smaller than the sum of its proper divisors (344215636).

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

222828800 is an equidigital number, since it uses as much as digits as its factorization.

222828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 222828800 is about 14927.4512224961. The cubic root of 222828800 is about 606.2574760831.

The spelling of 222828800 in words is "two hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred".