222636240 has 120 divisors (see below), whose sum is σ = 750595560. Its totient is φ = 59139072.

The previous prime is 222636223. The next prime is 222636263. The reversal of 222636240 is 42636222.

222636240 is a `hidden beast` number, since 2 + 2 + 2 + 636 + 24 + 0 = 666.

It is a Cunningham number, because it is equal to 14921²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 191767104 = 5556^2 + 13848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×222636240² = 99133790722675200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 268146 + ... + 268974.

It is an arithmetic number, because the mean of its divisors is an integer number (6254963).

Almost surely, 2^222636240 is an apocalyptic number.

222636240 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 222636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375297780).

222636240 is an abundant number, since it is smaller than the sum of its proper divisors (527959320).

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

222636240 is a wasteful number, since it uses less digits than its factorization.

222636240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 222636240 is about 14920.9999664902. Note that the first 4 decimals coincide. The cubic root of 222636240 is about 606.0827910283.

The spelling of 222636240 in words is "two hundred twenty-two million, six hundred thirty-six thousand, two hundred forty".