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22142314200 = 23352311190447
BaseRepresentation
bin10100100111110010…
…001110011011011000
32010011010200002212010
4110213302032123120
5330321413023300
614101054345520
71412464364616
oct244762163330
963133602763
1022142314200
119432839426
12435b4bb2a0
13211b48c786
141100a286b6
15898d90a50
hex527c8e6d8

22142314200 has 96 divisors (see below), whose sum is σ = 70855464960. Its totient is φ = 5714140800.

The previous prime is 22142314193. The next prime is 22142314211. The reversal of 22142314200 is 241324122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576624 + ... + 613823.

It is an arithmetic number, because the mean of its divisors is an integer number (738077760).

Almost surely, 222142314200 is an apocalyptic number.

22142314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142314200 is an abundant number, since it is smaller than the sum of its proper divisors (48713150760).

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

22142314200 is a wasteful number, since it uses less digits than its factorization.

22142314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190497 (or 1190488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22142314200 its reverse (241324122), we get a palindrome (22383638322).

The spelling of 22142314200 in words is "twenty-two billion, one hundred forty-two million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 1190447 2380894 3571341 4761788 5952235 7142682 9523576 11904470 14285364 17856705 23808940 28570728 29761175 35713410 36903857 47617880 59522350 71426820 73807714 89283525 110711571 119044700 142853640 147615428 178567050 184519285 221423142 238089400 295230856 357134100 369038570 442846284 553557855 714268200 738077140 885692568 922596425 1107115710 1476154280 1845192850 2214231420 2767789275 3690385700 4428462840 5535578550 7380771400 11071157100 22142314200