222480000 has 320 divisors, whose sum is σ = 828484800. Its totient is φ = 58752000.

The previous prime is 222479977. The next prime is 222480007. The reversal of 222480000 is 84222.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (222480007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159949 + ... + 2160051.

It is an arithmetic number, because the mean of its divisors is an integer number (2589015).

Almost surely, 2^222480000 is an apocalyptic number.

222480000 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 222480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414242400).

222480000 is an abundant number, since it is smaller than the sum of its proper divisors (606004800).

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

222480000 is an equidigital number, since it uses as much as digits as its factorization.

222480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

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

The square root of 222480000 is about 14915.7634735873. The cubic root of 222480000 is about 605.9409804300.

The spelling of 222480000 in words is "two hundred twenty-two million, four hundred eighty thousand".