22833312 has 72 divisors (see below), whose sum is σ = 63747936. Its totient is φ = 7154688.

The previous prime is 22833287. The next prime is 22833313. The reversal of 22833312 is 21333822.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (22833313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27333 + ... + 28155.

It is an arithmetic number, because the mean of its divisors is an integer number (885388).

Almost surely, 2^22833312 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 22833312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31873968).

22833312 is an abundant number, since it is smaller than the sum of its proper divisors (40914624).

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

22833312 is a wasteful number, since it uses less digits than its factorization.

22833312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 845 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 22833312 is about 4778.4214966870. The cubic root of 22833312 is about 283.6980192904.

The spelling of 22833312 in words is "twenty-two million, eight hundred thirty-three thousand, three hundred twelve".