33224100 has 144 divisors (see below), whose sum is σ = 118409088. Its totient is φ = 7004160.

The previous prime is 33224083. The next prime is 33224123. The reversal of 33224100 is 142233.

It is a super-2 number, since 2×33224100² = 2207681641620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33224100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26692 + ... + 27908.

Almost surely, 2^33224100 is an apocalyptic number.

33224100 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 33224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59204544).

33224100 is an abundant number, since it is smaller than the sum of its proper divisors (85184988).

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

33224100 is a wasteful number, since it uses less digits than its factorization.

33224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33224100 is about 5764.0350450010. The cubic root of 33224100 is about 321.4778647505.

Adding to 33224100 its reverse (142233), we get a palindrome (33366333).

The spelling of 33224100 in words is "thirty-three million, two hundred twenty-four thousand, one hundred".