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201222212200 = 23526717598537
BaseRepresentation
bin1011101101100111000…
…1110100101001101000
3201020101112002111102221
42323121301310221220
511244100341242300
6232235030203424
720352321403612
oct2733161645150
9636345074387
10201222212200
1178379769329
1232bb8ab3574
1315c8a5bc969
149a4c553db2
15537a8eb31a
hex2ed9c74a68

201222212200 has 96 divisors (see below), whose sum is σ = 475149945600. Its totient is φ = 79233200640.

The previous prime is 201222212197. The next prime is 201222212201. The reversal of 201222212200 is 2212222102.

It is not an unprimeable number, because it can be changed into a prime (201222212201) 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, 23566332 + ... + 23574868.

It is an arithmetic number, because the mean of its divisors is an integer number (4949478600).

Almost surely, 2201222212200 is an apocalyptic number.

201222212200 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 201222212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237574972800).

201222212200 is an abundant number, since it is smaller than the sum of its proper divisors (273927733400).

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

201222212200 is a wasteful number, since it uses less digits than its factorization.

201222212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379 (or 10370 counting only the distinct ones).

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

Adding to 201222212200 its reverse (2212222102), we get a palindrome (203434434302).

It can be divided in two parts, 20122 and 2212200, that added together give a palindrome (2232322).

The spelling of 201222212200 in words is "two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 1759 2680 3350 3518 6700 7036 8537 8795 13400 14072 17074 17590 34148 35180 42685 43975 68296 70360 85370 87950 117853 170740 175900 213425 235706 341480 351800 426850 471412 571979 589265 853700 942824 1143958 1178530 1707400 2287916 2357060 2859895 2946325 4575832 4714120 5719790 5892650 11439580 11785300 14299475 15016583 22879160 23570600 28598950 30033166 57197900 60066332 75082915 114395800 120132664 150165830 300331660 375414575 600663320 750829150 1006111061 1501658300 2012222122 3003316600 4024444244 5030555305 8048888488 10061110610 20122221220 25152776525 40244442440 50305553050 100611106100 201222212200