222426097920 has 864 divisors, whose sum is σ = 860307188832. Its totient is φ = 52701954048.

The previous prime is 222426097919. The next prime is 222426097951. The reversal of 222426097920 is 29790624222.

It can be written as a sum of positive squares in 16 ways, for example, as 2772654336 + 219653443584 = 52656^2 + 468672^2 .

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 95 ways as a sum of consecutive naturals, for example, 759133294 + ... + 759133586.

It is an arithmetic number, because the mean of its divisors is an integer number (995725913).

Almost surely, 2^222426097920 is an apocalyptic number.

222426097920 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 222426097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430153594416).

222426097920 is an abundant number, since it is smaller than the sum of its proper divisors (637881090912).

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

222426097920 is a wasteful number, since it uses less digits than its factorization.

222426097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 222426097920 in words is "two hundred twenty-two billion, four hundred twenty-six million, ninety-seven thousand, nine hundred twenty".