22034115072 has 200 divisors, whose sum is σ = 69636849876. Its totient is φ = 6912442368.

The previous prime is 22034115067. The next prime is 22034115119. The reversal of 22034115072 is 27051143022.

It can be written as a sum of positive squares in 2 ways, for example, as 21110927616 + 923187456 = 145296^2 + 30384^2 .

It is a super-2 number, since 2×22034115072² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 689398 + ... + 720650.

Almost surely, 2^22034115072 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 22034115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34818424938).

22034115072 is an abundant number, since it is smaller than the sum of its proper divisors (47602734804).

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

22034115072 is an equidigital number, since it uses as much as digits as its factorization.

22034115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31300 (or 31275 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 22034115072 its reverse (27051143022), we get a palindrome (49085258094).

The spelling of 22034115072 in words is "twenty-two billion, thirty-four million, one hundred fifteen thousand, seventy-two".