22281792 has 112 divisors (see below), whose sum is σ = 64861440. Its totient is φ = 6709248.

The previous prime is 22281767. The next prime is 22281793. The reversal of 22281792 is 29718222.

It is a super-3 number, since 3×22281792³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22281793) 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 15 ways as a sum of consecutive naturals, for example, 197128 + ... + 197240.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 2^22281792 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 22281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32430720).

22281792 is an abundant number, since it is smaller than the sum of its proper divisors (42579648).

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

22281792 is a wasteful number, since it uses less digits than its factorization.

22281792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 22281792 is about 4720.3593083578. The cubic root of 22281792 is about 281.3952131104.

The spelling of 22281792 in words is "twenty-two million, two hundred eighty-one thousand, seven hundred ninety-two".