33225300 has 216 divisors, whose sum is σ = 115096800. Its totient is φ = 7983360.

The previous prime is 33225299. The next prime is 33225301. The reversal of 33225300 is 352233.

It is an interprime number because it is at equal distance from previous prime (33225299) and next prime (33225301).

It is a super-2 number, since 2×33225300² = 2207841120180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33225301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 495867 + ... + 495933.

Almost surely, 2^33225300 is an apocalyptic number.

33225300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57548400).

33225300 is an abundant number, since it is smaller than the sum of its proper divisors (81871500).

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

33225300 is a wasteful number, since it uses less digits than its factorization.

33225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 33225300 is about 5764.1391378071. The cubic root of 33225300 is about 321.4817351217.

Adding to 33225300 its reverse (352233), we get a palindrome (33577533).

The spelling of 33225300 in words is "thirty-three million, two hundred twenty-five thousand, three hundred".