22882272 has 96 divisors (see below), whose sum is σ = 72721152. Its totient is φ = 6150144.

The previous prime is 22882267. The next prime is 22882303. The reversal of 22882272 is 27228822.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10423 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (757512).

Almost surely, 2^22882272 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 22882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360576).

22882272 is an abundant number, since it is smaller than the sum of its proper divisors (49838880).

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

22882272 is a wasteful number, since it uses less digits than its factorization.

22882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 22882272 is about 4783.5417840759. The cubic root of 22882272 is about 283.9006463283.

It can be divided in two parts, 2288 and 2272, that added together give a triangular number (4560 = T₉₅).

The spelling of 22882272 in words is "twenty-two million, eight hundred eighty-two thousand, two hundred seventy-two".