222424492492800 has 3888 divisors, whose sum is σ = 937833788897460. Its totient is φ = 51984787046400.

The previous prime is 222424492492757. The next prime is 222424492492817. The reversal of 222424492492800 is 8294294424222.

222424492492800 is a `hidden beast` number, since 2 + 2 + 24 + 2 + 44 + 92 + 492 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63279606703104 + 159144885789696 = 7954848^2 + 12615264^2 .

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4196688537574 + ... + 4196688537626.

Almost surely, 2^{222424492492800} is an apocalyptic number.

222424492492800 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 222424492492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468916894448730).

222424492492800 is an abundant number, since it is smaller than the sum of its proper divisors (715409296404660).

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

222424492492800 is an frugal number, since it uses more digits than its factorization.

222424492492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 222424492492800 in words is "two hundred twenty-two trillion, four hundred twenty-four billion, four hundred ninety-two million, four hundred ninety-two thousand, eight hundred".