33225320 has 32 divisors (see below), whose sum is σ = 74972520. Its totient is φ = 13251840.

The previous prime is 33225307. The next prime is 33225323. The reversal of 33225320 is 2352233.

It can be written as a sum of positive squares in 4 ways, for example, as 10510564 + 22714756 = 3242^2 + 4766^2 .

It is a super-2 number, since 2×33225320² = 2207843778204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33225292 and 33225301.

It is not an unprimeable number, because it can be changed into a prime (33225323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15854 + ... + 17826.

Almost surely, 2^33225320 is an apocalyptic number.

It is an amenable number.

33225320 is an abundant number, since it is smaller than the sum of its proper divisors (41747200).

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

33225320 is a wasteful number, since it uses less digits than its factorization.

33225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 33225320 is about 5764.1408726713. The cubic root of 33225320 is about 321.4817996271.

Adding to 33225320 its reverse (2352233), we get a palindrome (35577553).

It can be divided in two parts, 332 and 25320, that added together give a palindrome (25652).

The spelling of 33225320 in words is "thirty-three million, two hundred twenty-five thousand, three hundred twenty".