Search a number
-
+
2122423200200 = 2352193239230063
BaseRepresentation
bin11110111000101010010…
…001111110100111001000
321111220100022200210020002
4132320222101332213020
5234233210314401300
64303005555022132
7306224424352052
oct36705221764710
97456308623202
102122423200200
117491296240a6
122a340b29a948
131251b379b2c4
1474a239748d2
153a320a8d5d5
hex1ee2a47e9c8

2122423200200 has 96 divisors (see below), whose sum is σ = 4980977625600. Its totient is φ = 841033052160.

The previous prime is 2122423200193. The next prime is 2122423200241. The reversal of 2122423200200 is 20023242212.

It is a super-3 number, since 3×21224232002003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9110369 + ... + 9340431.

It is an arithmetic number, because the mean of its divisors is an integer number (51885183600).

Almost surely, 22122423200200 is an apocalyptic number.

2122423200200 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 2122423200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490488812800).

2122423200200 is an abundant number, since it is smaller than the sum of its proper divisors (2858554425400).

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

2122423200200 is a wasteful number, since it uses less digits than its factorization.

2122423200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230511 (or 230502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2122423200200 its reverse (20023242212), we get a palindrome (2142446442412).

The spelling of 2122423200200 in words is "two trillion, one hundred twenty-two billion, four hundred twenty-three million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 239 386 478 772 956 965 1195 1544 1912 1930 2390 3860 4780 4825 5975 7720 9560 9650 11950 19300 23900 38600 46127 47800 92254 184508 230063 230635 369016 460126 461270 920252 922540 1150315 1153175 1840504 1845080 2300630 2306350 4601260 4612700 5751575 9202520 9225400 11503150 23006300 44402159 46012600 54985057 88804318 109970114 177608636 219940228 222010795 274925285 355217272 439880456 444021590 549850570 888043180 1099701140 1110053975 1374626425 1776086360 2199402280 2220107950 2749252850 4440215900 5498505700 8880431800 10612116001 10997011400 21224232002 42448464004 53060580005 84896928008 106121160010 212242320020 265302900025 424484640040 530605800050 1061211600100 2122423200200