Search a number
-
+
2002235113200 = 243527238361323
BaseRepresentation
bin11101001000101110100…
…000110011111011110000
321002102010012121100212110
4131020232200303323300
5230301034142110300
64131451503125320
7264441152440050
oct35105640637360
97072105540773
102002235113200
11702163583483
122840685a3840
13116a6b63b16a
146cca166b560
1537139333550
hex1d22e833ef0

2002235113200 has 120 divisors (see below), whose sum is σ = 7330087435648. Its totient is φ = 457653738240.

The previous prime is 2002235113157. The next prime is 2002235113231. The reversal of 2002235113200 is 23115322002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 119172262 + ... + 119189061.

Almost surely, 22002235113200 is an apocalyptic number.

2002235113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002235113200 is an abundant number, since it is smaller than the sum of its proper divisors (5327852322448).

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

2002235113200 is a wasteful number, since it uses less digits than its factorization.

2002235113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238361351 (or 238361340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 2002235113200 in words is "two trillion, two billion, two hundred thirty-five million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 238361323 476722646 715083969 953445292 1191806615 1430167938 1668529261 1906890584 2383613230 2860335876 3337058522 3575419845 3813781168 4767226460 5005587783 5720671752 5959033075 6674117044 7150839690 8342646305 9534452920 10011175566 11441343504 11918066150 13348234088 14301679380 16685292610 17877099225 19068905840 20022351132 23836132300 25027938915 26696468176 28603358760 33370585220 35754198450 40044702264 41713231525 47672264600 50055877830 57206717520 66741170440 71508396900 80089404528 83426463050 95344529200 100111755660 125139694575 133482340880 143016793800 166852926100 200223511320 250279389150 286033587600 333705852200 400447022640 500558778300 667411704400 1001117556600 2002235113200