33230400 has 336 divisors, whose sum is σ = 133039104. Its totient is φ = 7096320.

The previous prime is 33230387. The next prime is 33230401. The reversal of 33230400 is 403233.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33230400² = 2208518968320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33230400.

It is not an unprimeable number, because it can be changed into a prime (33230401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772779 + ... + 772821.

Almost surely, 2^33230400 is an apocalyptic number.

33230400 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 33230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66519552).

33230400 is an abundant number, since it is smaller than the sum of its proper divisors (99808704).

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

33230400 is a wasteful number, since it uses less digits than its factorization.

33230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 33230400 is about 5764.5815112634. The cubic root of 33230400 is about 321.4981831594.

Adding to 33230400 its reverse (403233), we get a palindrome (33633633).

The spelling of 33230400 in words is "thirty-three million, two hundred thirty thousand, four hundred".