33422431224 has 256 divisors, whose sum is σ = 106423833600. Its totient is φ = 8511049728.

The previous prime is 33422431223. The next prime is 33422431271. The reversal of 33422431224 is 42213422433.

It is a super-2 number, since 2×33422431224² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33422431191 and 33422431200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33422431223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11069187 + ... + 11072205.

It is an arithmetic number, because the mean of its divisors is an integer number (415718100).

Almost surely, 2^33422431224 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 33422431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211916800).

33422431224 is an abundant number, since it is smaller than the sum of its proper divisors (73001402376).

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

33422431224 is a wasteful number, since it uses less digits than its factorization.

33422431224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3218 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 33422431224 its reverse (42213422433), we get a palindrome (75635853657).

The spelling of 33422431224 in words is "thirty-three billion, four hundred twenty-two million, four hundred thirty-one thousand, two hundred twenty-four".