222742800 has 180 divisors, whose sum is σ = 883504960. Its totient is φ = 50906880.

The previous prime is 222742777. The next prime is 222742813. The reversal of 222742800 is 8247222.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×222742800² = 99228709903680000, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 20781 + ... + 29619.

Almost surely, 2^222742800 is an apocalyptic number.

222742800 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 222742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441752480).

222742800 is an abundant number, since it is smaller than the sum of its proper divisors (660762160).

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

222742800 is a wasteful number, since it uses less digits than its factorization.

222742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 222742800 is about 14924.5703455744. The cubic root of 222742800 is about 606.1794717260.

The spelling of 222742800 in words is "two hundred twenty-two million, seven hundred forty-two thousand, eight hundred".