22930272 has 72 divisors (see below), whose sum is σ = 65926224. Its totient is φ = 7559424.

The previous prime is 22930253. The next prime is 22930273. The reversal of 22930272 is 27203922.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22930272³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22930273) 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 11 ways as a sum of consecutive naturals, for example, 29278 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (915642).

Almost surely, 2^22930272 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 22930272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32963112).

22930272 is an abundant number, since it is smaller than the sum of its proper divisors (42995952).

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

22930272 is a wasteful number, since it uses less digits than its factorization.

22930272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

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

The square root of 22930272 is about 4788.5563586534. The cubic root of 22930272 is about 284.0990198920.

The spelling of 22930272 in words is "twenty-two million, nine hundred thirty thousand, two hundred seventy-two".