222248640 has 112 divisors (see below), whose sum is σ = 724826592. Its totient is φ = 57655296.

The previous prime is 222248627. The next prime is 222248647. The reversal of 222248640 is 46842222.

It is a super-3 number, since 3×222248640³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 222248598 and 222248607.

It is not an unprimeable number, because it can be changed into a prime (222248647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32392 + ... + 38648.

It is an arithmetic number, because the mean of its divisors is an integer number (6471666).

Almost surely, 2^222248640 is an apocalyptic number.

222248640 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 222248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362413296).

222248640 is an abundant number, since it is smaller than the sum of its proper divisors (502577952).

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

222248640 is a wasteful number, since it uses less digits than its factorization.

222248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 222248640 is about 14908.0059028698. The cubic root of 222248640 is about 605.7308654703.

The spelling of 222248640 in words is "two hundred twenty-two million, two hundred forty-eight thousand, six hundred forty".