33229440 has 160 divisors (see below), whose sum is σ = 118853460. Its totient is φ = 8847360.

The previous prime is 33229433. The next prime is 33229477. The reversal of 33229440 is 4492233.

It is a happy number.

33229440 is a `hidden beast` number, since 332 + 294 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 876096 = 5688^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33229440² = 2208391365427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51520 + ... + 52160.

Almost surely, 2^33229440 is an apocalyptic number.

33229440 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 33229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59426730).

33229440 is an abundant number, since it is smaller than the sum of its proper divisors (85624020).

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

33229440 is an equidigital number, since it uses as much as digits as its factorization.

33229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33229440 is about 5764.4982435595. The cubic root of 33229440 is about 321.4950871868.

The spelling of 33229440 in words is "thirty-three million, two hundred twenty-nine thousand, four hundred forty".