33141900 has 144 divisors (see below), whose sum is σ = 106743168. Its totient is φ = 7937600.

The previous prime is 33141887. The next prime is 33141917. The reversal of 33141900 is 914133.

It is a super-2 number, since 2×33141900² = 2196771071220000, which contains 22 as substring.

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, 399259 + ... + 399341.

It is an arithmetic number, because the mean of its divisors is an integer number (741272).

Almost surely, 2^33141900 is an apocalyptic number.

33141900 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 33141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371584).

33141900 is an abundant number, since it is smaller than the sum of its proper divisors (73601268).

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

33141900 is a wasteful number, since it uses less digits than its factorization.

33141900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 33141900 is about 5756.9002075770. The cubic root of 33141900 is about 321.2125221865.

The spelling of 33141900 in words is "thirty-three million, one hundred forty-one thousand, nine hundred".