222417792 has 128 divisors (see below), whose sum is σ = 662592000. Its totient is φ = 73446912.

The previous prime is 222417761. The next prime is 222417803. The reversal of 222417792 is 297714222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 480153 + ... + 480615.

It is an arithmetic number, because the mean of its divisors is an integer number (5176500).

Almost surely, 2^222417792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331296000).

222417792 is an abundant number, since it is smaller than the sum of its proper divisors (440174208).

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

222417792 is a wasteful number, since it uses less digits than its factorization.

222417792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 222417792 is about 14913.6780171760. The cubic root of 222417792 is about 605.8844991128.

The spelling of 222417792 in words is "two hundred twenty-two million, four hundred seventeen thousand, seven hundred ninety-two".