222400440 has 96 divisors (see below), whose sum is σ = 725137920. Its totient is φ = 59115264.

The previous prime is 222400397. The next prime is 222400469. The reversal of 222400440 is 44004222.

222400440 is a `hidden beast` number, since 2 + 224 + 0 + 0 + 440 = 666.

222400440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137074 + ... + 138686.

It is an arithmetic number, because the mean of its divisors is an integer number (7553520).

Almost surely, 2^222400440 is an apocalyptic number.

222400440 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 222400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362568960).

222400440 is an abundant number, since it is smaller than the sum of its proper divisors (502737480).

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

222400440 is a wasteful number, since it uses less digits than its factorization.

222400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 222400440 is about 14913.0962579875. The cubic root of 222400440 is about 605.8687426077.

Adding to 222400440 its reverse (44004222), we get a palindrome (266404662).

The spelling of 222400440 in words is "two hundred twenty-two million, four hundred thousand, four hundred forty".