222408000 has 168 divisors, whose sum is σ = 795848040. Its totient is φ = 59289600.

The previous prime is 222407963. The next prime is 222408007. The reversal of 222408000 is 804222.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 222129216 = 528^2 + 14904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70456 + ... + 73544.

Almost surely, 2^222408000 is an apocalyptic number.

222408000 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 222408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397924020).

222408000 is an abundant number, since it is smaller than the sum of its proper divisors (573440040).

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

222408000 is a wasteful number, since it uses less digits than its factorization.

222408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222408000 is about 14913.3497243242. The cubic root of 222408000 is about 605.8756075758.

The spelling of 222408000 in words is "two hundred twenty-two million, four hundred eight thousand".