22167306 has 72 divisors (see below), whose sum is σ = 57326724. Its totient is φ = 6168960.

The previous prime is 22167293. The next prime is 22167307. The reversal of 22167306 is 60376122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14130081 + 8037225 = 3759^2 + 2835^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22167306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22167307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35856 + ... + 36468.

Almost surely, 2^22167306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22167306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28663362).

22167306 is an abundant number, since it is smaller than the sum of its proper divisors (35159418).

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

22167306 is a wasteful number, since it uses less digits than its factorization.

22167306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22167306 is about 4708.2168599163. The cubic root of 22167306 is about 280.9124400552.

The spelling of 22167306 in words is "twenty-two million, one hundred sixty-seven thousand, three hundred six".