33242100 has 36 divisors (see below), whose sum is σ = 96181344. Its totient is φ = 8864480.

The previous prime is 33242087. The next prime is 33242101. The reversal of 33242100 is 124233.

It is a super-2 number, since 2×33242100² = 2210074424820000, 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 33242100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33242101) 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, 55104 + ... + 55703.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^33242100 is an apocalyptic number.

33242100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33242100 is an abundant number, since it is smaller than the sum of its proper divisors (62939244).

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

33242100 is a wasteful number, since it uses less digits than its factorization.

33242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110824 (or 110817 counting only the distinct ones).

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

The square root of 33242100 is about 5765.5962397657. The cubic root of 33242100 is about 321.5359105353.

Adding to 33242100 its reverse (124233), we get a palindrome (33366333).

The spelling of 33242100 in words is "thirty-three million, two hundred forty-two thousand, one hundred".