22252221334530 has 384 divisors, whose sum is σ = 66389023733760. Its totient is φ = 5118515297280.

The previous prime is 22252221334493. The next prime is 22252221334583. The reversal of 22252221334530 is 3543312225222.

22252221334530 is a `hidden beast` number, since 2 + 2 + 2 + 52 + 22 + 133 + 453 + 0 = 666.

It is a super-2 number, since 2×22252221334530² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5244452589 + ... + 5244456831.

It is an arithmetic number, because the mean of its divisors is an integer number (172888082640).

Almost surely, 2^{22252221334530} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252221334530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194511866880).

22252221334530 is an abundant number, since it is smaller than the sum of its proper divisors (44136802399230).

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

22252221334530 is a wasteful number, since it uses less digits than its factorization.

22252221334530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 22252221334530 its reverse (3543312225222), we get a palindrome (25795533559752).

The spelling of 22252221334530 in words is "twenty-two trillion, two hundred fifty-two billion, two hundred twenty-one million, three hundred thirty-four thousand, five hundred thirty".