222585420 has 96 divisors (see below), whose sum is σ = 674085888. Its totient is φ = 54664192.

The previous prime is 222585413. The next prime is 222585463. The reversal of 222585420 is 24585222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45619 + ... + 50261.

It is an arithmetic number, because the mean of its divisors is an integer number (7021728).

Almost surely, 2^222585420 is an apocalyptic number.

222585420 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 222585420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337042944).

222585420 is an abundant number, since it is smaller than the sum of its proper divisors (451500468).

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

222585420 is a wasteful number, since it uses less digits than its factorization.

222585420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 222585420 is about 14919.2969003234. The cubic root of 222585420 is about 606.0366717452.

The spelling of 222585420 in words is "two hundred twenty-two million, five hundred eighty-five thousand, four hundred twenty".