33213400 has 96 divisors (see below), whose sum is σ = 87137280. Its totient is φ = 11664000.

The previous prime is 33213379. The next prime is 33213413. The reversal of 33213400 is 431233.

It is a super-2 number, since 2×33213400² = 2206259879120000, which contains 22 as substring.

It is a congruent number.

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, 67957 + ... + 68443.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 2^33213400 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 33213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43568640).

33213400 is an abundant number, since it is smaller than the sum of its proper divisors (53923880).

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

33213400 is a wasteful number, since it uses less digits than its factorization.

33213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33213400 is about 5763.1068010232. The cubic root of 33213400 is about 321.4433498202.

Adding to 33213400 its reverse (431233), we get a palindrome (33644633).

The spelling of 33213400 in words is "thirty-three million, two hundred thirteen thousand, four hundred".