Search a number
-
+
222214031032100 = 225297208727114049
BaseRepresentation
bin110010100001101000111100…
…011000100011111100100100
31002010210110020220002101022012
4302201220330120203330210
5213111223313421011400
62104335414440253352
764543301561524562
oct6241507430437444
91063713226071265
10222214031032100
1164893494456468
1220b0a699471258
1396cb901cab9b3
143cc3306086a32
151aa546c089d35
hexca1a3c623f24

222214031032100 has 144 divisors (see below), whose sum is σ = 487709272108800. Its totient is φ = 87872973619200.

The previous prime is 222214031032087. The next prime is 222214031032109. The reversal of 222214031032100 is 1230130412222.

It is not an unprimeable number, because it can be changed into a prime (222214031032109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54881210876 + ... + 54881214924.

It is an arithmetic number, because the mean of its divisors is an integer number (3386869945200).

Almost surely, 2222214031032100 is an apocalyptic number.

222214031032100 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 222214031032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243854636054400).

222214031032100 is an abundant number, since it is smaller than the sum of its proper divisors (265495241076700).

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

222214031032100 is a wasteful number, since it uses less digits than its factorization.

222214031032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 222214031032100 its reverse (1230130412222), we get a palindrome (223444161444322).

The spelling of 222214031032100 in words is "two hundred twenty-two trillion, two hundred fourteen billion, thirty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2087 2425 2711 4049 4174 4850 5422 8098 8348 9700 10435 10844 13555 16196 20245 20870 27110 40490 41740 52175 54220 67775 80980 101225 104350 135550 202439 202450 208700 262967 271100 392753 404878 404900 525934 785506 809756 1012195 1051868 1314835 1571012 1963765 2024390 2629670 3927530 4048780 5060975 5259340 5657857 6574175 7855060 8450263 9818825 10121950 10976839 11315714 13148350 16900526 19637650 20243900 21953678 22631428 26296700 28289285 33801052 39275300 42251315 43907356 54884195 56578570 84502630 109768390 113157140 141446425 169005260 211256575 219536780 274420975 282892850 422513150 548812129 548841950 565785700 819675511 845026300 1064753383 1097624258 1097683900 1639351022 2129506766 2195248516 2744060645 3278702044 4098377555 4259013532 5323766915 5488121290 8196755110 10647533830 10976242580 13720303225 16393510220 20491887775 21295067660 22908662993 26618834575 27440606450 40983775550 45817325986 53237669150 54881212900 81967551100 91634651972 106475338300 114543314965 229086629930 458173259860 572716574825 1145433149650 2222140310321 2290866299300 4444280620642 8888561241284 11110701551605 22221403103210 44442806206420 55553507758025 111107015516050 222214031032100