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230202222012200 = 235223279117930477
BaseRepresentation
bin110100010101111000100001…
…101010110110011100101000
31010012002010011122201102021002
4310111320201222312130220
5220133113122313342300
62133333235120134132
766326363442526514
oct6425704152663450
91105063148642232
10230202222012200
1167393239a6a219
122199a896467348
139b5ac90187bc9
1440bbbc021d144
151b9314c4065d5
hexd15e21ab6728

230202222012200 has 96 divisors (see below), whose sum is σ = 558690743468160. Its totient is φ = 88045809350400.

The previous prime is 230202222012193. The next prime is 230202222012211. The reversal of 230202222012200 is 2210222202032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3873362 + ... + 21803838.

It is an arithmetic number, because the mean of its divisors is an integer number (5819695244460).

Almost surely, 2230202222012200 is an apocalyptic number.

230202222012200 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 230202222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279345371734080).

230202222012200 is an abundant number, since it is smaller than the sum of its proper divisors (328488521455960).

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

230202222012200 is a wasteful number, since it uses less digits than its factorization.

230202222012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933307 (or 17933298 counting only the distinct ones).

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

Adding to 230202222012200 its reverse (2210222202032), we get a palindrome (232412444214232).

The spelling of 230202222012200 in words is "two hundred thirty trillion, two hundred two billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 2791 4600 5582 11164 13955 22328 27910 55820 64193 69775 111640 128386 139550 256772 279100 320965 513544 558200 641930 1283860 1604825 2567720 3209650 6419300 12838600 17930477 35860954 71721908 89652385 143443816 179304770 358609540 412400971 448261925 717219080 824801942 896523850 1649603884 1793047700 2062004855 3299207768 3586095400 4124009710 8248019420 10310024275 16496038840 20620048550 41240097100 50043961307 82480194200 100087922614 200175845228 250219806535 400351690456 500439613070 1000879226140 1151011110061 1251099032675 2001758452280 2302022220122 2502198065350 4604044440244 5004396130700 5755055550305 9208088880488 10008792261400 11510111100610 23020222201220 28775277751525 46040444402440 57550555503050 115101111006100 230202222012200