33224136 has 64 divisors (see below), whose sum is σ = 91126080. Its totient is φ = 10010880.

The previous prime is 33224129. The next prime is 33224173. The reversal of 33224136 is 63142233.

33224136 = 344² + 345² + ... + 519².

It is a super-2 number, since 2×33224136² = 2207686425892992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83490 + ... + 83886.

It is an arithmetic number, because the mean of its divisors is an integer number (1423845).

Almost surely, 2^33224136 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 33224136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45563040).

33224136 is an abundant number, since it is smaller than the sum of its proper divisors (57901944).

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

33224136 is a wasteful number, since it uses less digits than its factorization.

33224136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 33224136 is about 5764.0381678126. The cubic root of 33224136 is about 321.4779808630.

Adding to 33224136 its reverse (63142233), we get a palindrome (96366369).

The spelling of 33224136 in words is "thirty-three million, two hundred twenty-four thousand, one hundred thirty-six".