33222400 has 108 divisors (see below), whose sum is σ = 85541400. Its totient is φ = 12759040.

The previous prime is 33222383. The next prime is 33222407. The reversal of 33222400 is 422233.

It is a super-2 number, since 2×33222400² = 2207455723520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33222407) 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, 185511 + ... + 185689.

It is an arithmetic number, because the mean of its divisors is an integer number (792050).

Almost surely, 2^33222400 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 33222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42770700).

33222400 is an abundant number, since it is smaller than the sum of its proper divisors (52319000).

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

33222400 is a wasteful number, since it uses less digits than its factorization.

33222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33222400 is about 5763.8875769744. The cubic root of 33222400 is about 321.4723815652.

Adding to 33222400 its reverse (422233), we get a palindrome (33644633).

The spelling of 33222400 in words is "thirty-three million, two hundred twenty-two thousand, four hundred".