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22312414124 = 227111325721683
BaseRepresentation
bin10100110001111011…
…000110101110101100
32010120222202002002022
4110301323012232230
5331143434222444
614130012245312
71416631251020
oct246173065654
963528662068
1022312414124
11950a859a80
1243a8470838
1321477a8410
141119466380
158a8c909ee
hex531ec6bac

22312414124 has 96 divisors (see below), whose sum is σ = 52632792576. Its totient is φ = 7992852480.

The previous prime is 22312414121. The next prime is 22312414127. The reversal of 22312414124 is 42141421322.

It is an interprime number because it is at equal distance from previous prime (22312414121) and next prime (22312414127).

It is a super-3 number, since 3×223124141243 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22312414093 and 22312414102.

It is not an unprimeable number, because it can be changed into a prime (22312414121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018187 + ... + 1039869.

It is an arithmetic number, because the mean of its divisors is an integer number (548258256).

Almost surely, 222312414124 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 22312414124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316396288).

22312414124 is an abundant number, since it is smaller than the sum of its proper divisors (30320378452).

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

22312414124 is a wasteful number, since it uses less digits than its factorization.

22312414124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21975 (or 21973 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 22312414124 its reverse (42141421322), we get a palindrome (64453835446).

The spelling of 22312414124 in words is "twenty-two billion, three hundred twelve million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 257 286 308 364 514 572 1001 1028 1799 2002 2827 3341 3598 4004 5654 6682 7196 11308 13364 19789 21683 23387 36751 39578 43366 46774 73502 79156 86732 93548 147004 151781 238513 257257 281879 303562 477026 514514 563758 607124 954052 1029028 1127516 1669591 1973153 3100669 3339182 3946306 5572531 6201338 6678364 7892612 11145062 12402676 21704683 22290124 39007717 43409366 61297841 72442903 78015434 86818732 122595682 144885806 156030868 245191364 289771612 429084887 507100321 796871933 858169774 1014200642 1593743866 1716339548 2028401284 3187487732 5578103531 11156207062 22312414124