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22034420304312 = 233133122710035973
BaseRepresentation
bin1010000001010010010011…
…10010111000100110111000
32220000110200122011222120110
411000221021302320212320
510342002443044214222
6114510250053424320
74432635322211253
oct500511162704670
986013618158513
1022034420304312
117025821909a09
12257a50293b0a0
13c3aab5931c80
1456268623809a
15283274a8730c
hex140a49cb89b8

22034420304312 has 128 divisors (see below), whose sum is σ = 61506871695360. Its totient is φ = 6532213455360.

The previous prime is 22034420304287. The next prime is 22034420304317. The reversal of 22034420304312 is 21340302443022.

It is a self number, because there is not a number n which added to its sum of digits gives 22034420304312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034420304317) 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, 2822443 + ... + 7213530.

It is an arithmetic number, because the mean of its divisors is an integer number (480522435120).

Almost surely, 222034420304312 is an apocalyptic number.

It is an amenable number.

22034420304312 is an abundant number, since it is smaller than the sum of its proper divisors (39472451391048).

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

22034420304312 is a wasteful number, since it uses less digits than its factorization.

22034420304312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036253 (or 10036249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 22034420304312 its reverse (21340302443022), we get a palindrome (43374722747334).

The spelling of 22034420304312 in words is "twenty-two trillion, thirty-four billion, four hundred twenty million, three hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 227 248 312 372 403 454 681 744 806 908 1209 1362 1612 1816 2418 2724 2951 3224 4836 5448 5902 7037 8853 9672 11804 14074 17706 21111 23608 28148 35412 42222 56296 70824 84444 91481 168888 182962 274443 365924 548886 731848 1097772 2195544 10035973 20071946 30107919 40143892 60215838 80287784 120431676 130467649 240863352 260935298 311115163 391402947 521870596 622230326 782805894 933345489 1043741192 1244460652 1565611788 1866690978 2278165871 2488921304 3131223576 3733381956 4044497119 4556331742 6834497613 7466763912 8088994238 9112663484 12133491357 13668995226 16177988476 18225326968 24266982714 27337990452 29616156323 32355976952 48533965428 54675980904 59232312646 70623142001 88848468969 97067930856 118464625292 141246284002 177696937938 211869426003 236929250584 282492568004 355393875876 423738852006 564985136008 710787751752 847477704012 918100846013 1694955408024 1836201692026 2754302538039 3672403384052 5508605076078 7344806768104 11017210152156 22034420304312