222256742400 has 2160 divisors, whose sum is σ = 1064859344640. Its totient is φ = 44590694400.

The previous prime is 222256742359. The next prime is 222256742401. The reversal of 222256742400 is 4247652222.

222256742400 is a `hidden beast` number, since 2 + 2 + 225 + 6 + 7 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (222256742401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7664025586 + ... + 7664025614.

Almost surely, 2^222256742400 is an apocalyptic number.

222256742400 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 222256742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532429672320).

222256742400 is an abundant number, since it is smaller than the sum of its proper divisors (842602602240).

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

222256742400 is an equidigital number, since it uses as much as digits as its factorization.

222256742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 222256742400 in words is "two hundred twenty-two billion, two hundred fifty-six million, seven hundred forty-two thousand, four hundred".