222434845600 has 288 divisors, whose sum is σ = 612995765760. Its totient is φ = 78084096000.

The previous prime is 222434845553. The next prime is 222434845609. The reversal of 222434845600 is 6548434222.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (222434845609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155222484 + ... + 155223916.

It is an arithmetic number, because the mean of its divisors is an integer number (2128457520).

Almost surely, 2^222434845600 is an apocalyptic number.

222434845600 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 222434845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306497882880).

222434845600 is an abundant number, since it is smaller than the sum of its proper divisors (390560920160).

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

222434845600 is a wasteful number, since it uses less digits than its factorization.

222434845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 222434845600 in words is "two hundred twenty-two billion, four hundred thirty-four million, eight hundred forty-five thousand, six hundred".