33230970 has 48 divisors (see below), whose sum is σ = 87831432. Its totient is φ = 8714880.

The previous prime is 33230969. The next prime is 33231001. The reversal of 33230970 is 7903233.

It can be written as a sum of positive squares in 4 ways, for example, as 9054081 + 24176889 = 3009^2 + 4917^2 .

It is a super-2 number, since 2×33230970² = 2208594734281800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464 + ... + 8516.

Almost surely, 2^33230970 is an apocalyptic number.

33230970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43915716).

33230970 is an abundant number, since it is smaller than the sum of its proper divisors (54600462).

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

33230970 is a wasteful number, since it uses less digits than its factorization.

33230970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 33230970 is about 5764.6309508936. The cubic root of 33230970 is about 321.5000213650.

The spelling of 33230970 in words is "thirty-three million, two hundred thirty thousand, nine hundred seventy".