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222120200102200 = 23521577579344639
BaseRepresentation
bin110010100000010001100011…
…100111111110000100111000
31002010110111001122122021022021
4302200101203213332010320
5213103204132211232300
62104224340010004224
764533440424011311
oct6240214347760470
91063414048567267
10222120200102200
1164857714329004
1220ab4471716674
1396c2aca5b2cba
143cbc964485608
151aa2cc9732d1a
hexca04639fe138

222120200102200 has 96 divisors (see below), whose sum is σ = 520405431206400. Its totient is φ = 88165538173440.

The previous prime is 222120200102173. The next prime is 222120200102209. The reversal of 222120200102200 is 2201002021222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120200102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19097481 + ... + 28442119.

It is an arithmetic number, because the mean of its divisors is an integer number (5420889908400).

Almost surely, 2222120200102200 is an apocalyptic number.

222120200102200 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 222120200102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260202715603200).

222120200102200 is an abundant number, since it is smaller than the sum of its proper divisors (298285231104200).

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

222120200102200 is a wasteful number, since it uses less digits than its factorization.

222120200102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345569 (or 9345560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222120200102200 its reverse (2201002021222), we get a palindrome (224321202123422).

The spelling of 222120200102200 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 757 785 1256 1514 1570 3028 3140 3785 3925 6056 6280 7570 7850 15140 15700 18925 30280 31400 37850 75700 118849 151400 237698 475396 594245 950792 1188490 2376980 2971225 4753960 5942450 9344639 11884900 18689278 23769800 37378556 46723195 74757112 93446390 186892780 233615975 373785560 467231950 934463900 1467108323 1868927800 2934216646 5868433292 7073891723 7335541615 11736866584 14147783446 14671083230 28295566892 29342166460 35369458615 36677708075 56591133784 58684332920 70738917230 73355416150 141477834460 146710832300 176847293075 282955668920 293421664600 353694586150 707389172300 1110601000511 1414778344600 2221202001022 4442404002044 5553005002555 8884808004088 11106010005110 22212020010220 27765025012775 44424040020440 55530050025550 111060100051100 222120200102200