222965640 has 96 divisors (see below), whose sum is σ = 748051200. Its totient is φ = 57536640.

The previous prime is 222965629. The next prime is 222965641. The reversal of 222965640 is 46569222.

222965640 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 6 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 222965595 and 222965604.

It is not an unprimeable number, because it can be changed into a prime (222965641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171 + ... + 21149.

It is an arithmetic number, because the mean of its divisors is an integer number (7792200).

Almost surely, 2^222965640 is an apocalyptic number.

222965640 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 222965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374025600).

222965640 is an abundant number, since it is smaller than the sum of its proper divisors (525085560).

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

222965640 is a wasteful number, since it uses less digits than its factorization.

222965640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20027 (or 20020 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 222965640 is about 14932.0340208560. The cubic root of 222965640 is about 606.3815523496.

The spelling of 222965640 in words is "two hundred twenty-two million, nine hundred sixty-five thousand, six hundred forty".