221310130222224 has 200 divisors, whose sum is σ = 643238072503488. Its totient is φ = 73458953568000.

The previous prime is 221310130222187. The next prime is 221310130222249. The reversal of 221310130222224 is 422222031013122.

221310130222224 is a `hidden beast` number, since 2 + 2 + 1 + 310 + 1 + 302 + 2 + 22 + 24 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1430249149 + ... + 1430403875.

Almost surely, 2^{221310130222224} is an apocalyptic number.

221310130222224 is a gapful number since it is divisible by the number (24) 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 221310130222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321619036251744).

221310130222224 is an abundant number, since it is smaller than the sum of its proper divisors (421927942281264).

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

221310130222224 is a wasteful number, since it uses less digits than its factorization.

221310130222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159395 (or 159380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221310130222224 its reverse (422222031013122), we get a palindrome (643532161235346).

The spelling of 221310130222224 in words is "two hundred twenty-one trillion, three hundred ten billion, one hundred thirty million, two hundred twenty-two thousand, two hundred twenty-four".