22130300031984 has 240 divisors, whose sum is σ = 63166526924800. Its totient is φ = 7231136799744.

The previous prime is 22130300031943. The next prime is 22130300031989. The reversal of 22130300031984 is 48913000303122.

22130300031984 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 300 + 0 + 319 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130300031989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869265137 + ... + 1869276975.

Almost surely, 2^{22130300031984} is an apocalyptic number.

22130300031984 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 22130300031984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31583263462400).

22130300031984 is an abundant number, since it is smaller than the sum of its proper divisors (41036226892816).

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

22130300031984 is a wasteful number, since it uses less digits than its factorization.

22130300031984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22130300031984 in words is "twenty-two trillion, one hundred thirty billion, three hundred million, thirty-one thousand, nine hundred eighty-four".