222193440 has 432 divisors, whose sum is σ = 914239872. Its totient is φ = 48964608.

The previous prime is 222193403. The next prime is 222193453. The reversal of 222193440 is 44391222.

222193440 is a `hidden beast` number, since 2 + 2 + 219 + 3 + 440 = 666.

222193440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3316287 + ... + 3316353.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^222193440 is an apocalyptic number.

222193440 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 222193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457119936).

222193440 is an abundant number, since it is smaller than the sum of its proper divisors (692046432).

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

222193440 is a wasteful number, since it uses less digits than its factorization.

222193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 222193440 is about 14906.1544336559. The cubic root of 222193440 is about 605.6807127639.

The spelling of 222193440 in words is "two hundred twenty-two million, one hundred ninety-three thousand, four hundred forty".