33223040 has 128 divisors (see below), whose sum is σ = 86512320. Its totient is φ = 12165120.

The previous prime is 33223037. The next prime is 33223051. The reversal of 33223040 is 4032233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33223040² = 2207540773683200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544610 + ... + 544670.

Almost surely, 2^33223040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160).

33223040 is an abundant number, since it is smaller than the sum of its proper divisors (53289280).

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

33223040 is a wasteful number, since it uses less digits than its factorization.

33223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 33223040 is about 5763.9430947920. The cubic root of 33223040 is about 321.4744458452.

Adding to 33223040 its reverse (4032233), we get a palindrome (37255273).

The spelling of 33223040 in words is "thirty-three million, two hundred twenty-three thousand, forty".