222422254352640 has 360 divisors, whose sum is σ = 797395270944888. Its totient is φ = 59198743019520.

The previous prime is 222422254352437. The next prime is 222422254352653. The reversal of 222422254352640 is 46253452224222.

222422254352640 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 2 + 254 + 352 + 6 + 40 = 666.

222422254352640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6041449380096 + 216380804972544 = 2457936^2 + 14709888^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51958474 + ... + 56076086.

Almost surely, 2^{222422254352640} is an apocalyptic number.

222422254352640 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 222422254352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398697635472444).

222422254352640 is an abundant number, since it is smaller than the sum of its proper divisors (574973016592248).

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

222422254352640 is an equidigital number, since it uses as much as digits as its factorization.

222422254352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118167 (or 4118144 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 222422254352640 in words is "two hundred twenty-two trillion, four hundred twenty-two billion, two hundred fifty-four million, three hundred fifty-two thousand, six hundred forty".