22284337152 has 368 divisors, whose sum is σ = 77309402112. Its totient is φ = 5536481280.

The previous prime is 22284337147. The next prime is 22284337177. The reversal of 22284337152 is 25173348222.

It is a tau number, because it is divible by the number of its divisors (368).

It is a super-2 number, since 2×22284337152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22284337152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968884213 + ... + 968884235.

Almost surely, 2^22284337152 is an apocalyptic number.

22284337152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22284337152 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22284337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38654701056).

22284337152 is an abundant number, since it is smaller than the sum of its proper divisors (55025064960).

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

22284337152 is an frugal number, since it uses more digits than its factorization.

22284337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 22284337152 in words is "twenty-two billion, two hundred eighty-four million, three hundred thirty-seven thousand, one hundred fifty-two".