33222072240 has 800 divisors, whose sum is σ = 136433172480. Its totient is φ = 7336562688.

The previous prime is 33222072239. The next prime is 33222072259. The reversal of 33222072240 is 4227022233.

It is a happy number.

33222072240 is a `hidden beast` number, since 332 + 2 + 20 + 72 + 240 = 666.

It is a super-2 number, since 2×33222072240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261591057 + ... + 261591183.

Almost surely, 2^33222072240 is an apocalyptic number.

33222072240 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 33222072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68216586240).

33222072240 is an abundant number, since it is smaller than the sum of its proper divisors (103211100240).

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

33222072240 is a wasteful number, since it uses less digits than its factorization.

33222072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 33222072240 its reverse (4227022233), we get a palindrome (37449094473).

The spelling of 33222072240 in words is "thirty-three billion, two hundred twenty-two million, seventy-two thousand, two hundred forty".