222390240 has 48 divisors (see below), whose sum is σ = 700530768. Its totient is φ = 59303936.

The previous prime is 222390211. The next prime is 222390253. The reversal of 222390240 is 42093222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222390240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231177 + ... + 232136.

It is an arithmetic number, because the mean of its divisors is an integer number (14594391).

Almost surely, 2^222390240 is an apocalyptic number.

222390240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222390240 is an abundant number, since it is smaller than the sum of its proper divisors (478140528).

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

222390240 is a wasteful number, since it uses less digits than its factorization.

222390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463331 (or 463323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 222390240 is about 14912.7542727693. The cubic root of 222390240 is about 605.8594801026.

The spelling of 222390240 in words is "two hundred twenty-two million, three hundred ninety thousand, two hundred forty".