222198575760 has 320 divisors, whose sum is σ = 875143272960. Its totient is φ = 50761728000.

The previous prime is 222198575759. The next prime is 222198575761. The reversal of 222198575760 is 67575891222.

222198575760 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 9 + 8 + 575 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (222198575759) and next prime (222198575761).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 222198575697 and 222198575706.

It is not an unprimeable number, because it can be changed into a prime (222198575761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55533760 + ... + 55537760.

It is an arithmetic number, because the mean of its divisors is an integer number (2734822728).

Almost surely, 2^222198575760 is an apocalyptic number.

222198575760 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 222198575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437571636480).

222198575760 is an abundant number, since it is smaller than the sum of its proper divisors (652944697200).

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

222198575760 is a wasteful number, since it uses less digits than its factorization.

222198575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 222198575760 in words is "two hundred twenty-two billion, one hundred ninety-eight million, five hundred seventy-five thousand, seven hundred sixty".