22307264 has 112 divisors (see below), whose sum is σ = 55961280. Its totient is φ = 8601600.

The previous prime is 22307261. The next prime is 22307279. The reversal of 22307264 is 46270322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×22307264³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22307261) 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, 220814 + ... + 220914.

Almost surely, 2^22307264 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 22307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980640).

22307264 is an abundant number, since it is smaller than the sum of its proper divisors (33654016).

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

22307264 is a wasteful number, since it uses less digits than its factorization.

22307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 22307264 is about 4723.0566373907. The cubic root of 22307264 is about 281.5024003194.

Adding to 22307264 its reverse (46270322), we get a palindrome (68577586).

The spelling of 22307264 in words is "twenty-two million, three hundred seven thousand, two hundred sixty-four".