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22443242140 = 225113899473
BaseRepresentation
bin10100111001101110…
…001011001010011100
32010221002220211101101
4110321232023022130
5331430432222030
614151004322444
71423110260554
oct247156131234
963832824341
1022443242140
119577697000
124424243424
132168923a47
14112c9a0164
158b54d47ca
hex539b8b29c

22443242140 has 96 divisors (see below), whose sum is σ = 52428358080. Its totient is φ = 8068628480.

The previous prime is 22443242131. The next prime is 22443242161. The reversal of 22443242140 is 4124234422.

It is a junction number, because it is equal to n+sod(n) for n = 22443242099 and 22443242108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2364444 + ... + 2373916.

It is an arithmetic number, because the mean of its divisors is an integer number (546128730).

Almost surely, 222443242140 is an apocalyptic number.

22443242140 is a gapful number since it is divisible by the number (20) 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 22443242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214179040).

22443242140 is an abundant number, since it is smaller than the sum of its proper divisors (29985115940).

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

22443242140 is a wasteful number, since it uses less digits than its factorization.

22443242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22443242140 its reverse (4124234422), we get a palindrome (26567476562).

The spelling of 22443242140 in words is "twenty-two billion, four hundred forty-three million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 121 178 220 242 356 445 484 605 890 979 1210 1331 1780 1958 2420 2662 3916 4895 5324 6655 9473 9790 10769 13310 18946 19580 21538 26620 37892 43076 47365 53845 94730 104203 107690 118459 189460 208406 215380 236918 416812 473836 521015 592295 843097 1042030 1146233 1184590 1686194 2084060 2292466 2369180 3372388 4215485 4584932 5731165 8430970 9274067 11462330 12608563 16861940 18548134 22924660 25217126 37096268 46370335 50434252 63042815 92740670 102014737 126085630 185481340 204029474 252171260 408058948 510073685 1020147370 1122162107 2040294740 2244324214 4488648428 5610810535 11221621070 22443242140