222353608320 has 384 divisors, whose sum is σ = 791183624400. Its totient is φ = 57516687360.

The previous prime is 222353608313. The next prime is 222353608363. The reversal of 222353608320 is 23806353222.

222353608320 is a `hidden beast` number, since 2 + 2 + 23 + 5 + 3 + 608 + 3 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36744289344 + 185609318976 = 191688^2 + 430824^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×222353608320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25644946 + ... + 25653614.

Almost surely, 2^222353608320 is an apocalyptic number.

222353608320 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 222353608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395591812200).

222353608320 is an abundant number, since it is smaller than the sum of its proper divisors (568830016080).

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

222353608320 is a wasteful number, since it uses less digits than its factorization.

222353608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 222353608320 in words is "two hundred twenty-two billion, three hundred fifty-three million, six hundred eight thousand, three hundred twenty".