33198144 has 112 divisors (see below), whose sum is σ = 106363008. Its totient is φ = 8921088.

The previous prime is 33198133. The next prime is 33198163. The reversal of 33198144 is 44189133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33198144² = 2204233530089472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22122 + ... + 23574.

Almost surely, 2^33198144 is an apocalyptic number.

33198144 is a gapful number since it is divisible by the number (34) 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 33198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53181504).

33198144 is an abundant number, since it is smaller than the sum of its proper divisors (73164864).

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

33198144 is a wasteful number, since it uses less digits than its factorization.

33198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1482 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 33198144 is about 5761.7830573530. The cubic root of 33198144 is about 321.3941258044.

The spelling of 33198144 in words is "thirty-three million, one hundred ninety-eight thousand, one hundred forty-four".