22822272 has 96 divisors (see below), whose sum is σ = 71683560. Its totient is φ = 6912000.

The previous prime is 22822259. The next prime is 22822297. The reversal of 22822272 is 27222822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11772 + ... + 13572.

Almost surely, 2^22822272 is an apocalyptic number.

22822272 is a gapful number since it is divisible by the number (22) 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 22822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35841780).

22822272 is an abundant number, since it is smaller than the sum of its proper divisors (48861288).

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

22822272 is a wasteful number, since it uses less digits than its factorization.

22822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1817 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 22822272 is about 4777.2661638221. The cubic root of 22822272 is about 283.6522888674.

It can be divided in two parts, 2282 and 2272, that added together give a palindrome (4554).

The spelling of 22822272 in words is "twenty-two million, eight hundred twenty-two thousand, two hundred seventy-two".