Search a number
-
+
231233222200200 = 233521135035336697
BaseRepresentation
bin110100100100111000101110…
…000100011100101110001000
31010022201200100211110120010020
4310210320232010130232020
5220302011114340401300
62135443024212220440
766464022543530433
oct6444705604345610
91108650324416106
10231233222200200
11677505057701a0
1221b2666a30a720
139c04278ac044c
144115a6786a81a
151baed904b38a0
hexd24e2e11cb88

231233222200200 has 96 divisors (see below), whose sum is σ = 781988715099360. Its totient is φ = 56056538713600.

The previous prime is 231233222200181. The next prime is 231233222200229. The reversal of 231233222200200 is 2002222332132.

It is a super-2 number, since 2×2312332222002002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17517661749 + ... + 17517674948.

It is an arithmetic number, because the mean of its divisors is an integer number (8145715782285).

Almost surely, 2231233222200200 is an apocalyptic number.

231233222200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231233222200200 is an abundant number, since it is smaller than the sum of its proper divisors (550755492899160).

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

231233222200200 is a wasteful number, since it uses less digits than its factorization.

231233222200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35035336727 (or 35035336718 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 231233222200200 its reverse (2002222332132), we get a palindrome (233235444532332).

The spelling of 231233222200200 in words is "two hundred thirty-one trillion, two hundred thirty-three billion, two hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 35035336697 70070673394 105106010091 140141346788 175176683485 210212020182 280282693576 350353366970 385388703667 420424040364 525530050455 700706733940 770777407334 840848080728 875883417425 1051060100910 1156166111001 1401413467880 1541554814668 1751766834850 1926943518335 2102120201820 2312332222002 2627650252275 3083109629336 3503533669700 3853887036670 4204240403640 4624664444004 5255300504550 5780830555005 7007067339400 7707774073340 9249328888008 9634717591675 10510601009100 11561661110010 15415548146680 19269435183350 21021202018200 23123322220020 28904152775025 38538870366700 46246644440040 57808305550050 77077740733400 115616611100100 231233222200200