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23011404200 = 23525910917891
BaseRepresentation
bin10101011011100101…
…100010100110101000
32012101201000110012122
4111123211202212220
5334111404413300
614323222130412
71443146464661
oct253345424650
965351013178
1023011404200
119839379624
124562580a08
132229552c05
14118421a368
158ea313c85
hex55b9629a8

23011404200 has 96 divisors (see below), whose sum is σ = 54910548000. Its totient is φ = 8965036800.

The previous prime is 23011404133. The next prime is 23011404209. The reversal of 23011404200 is 240411032.

It is not an unprimeable number, because it can be changed into a prime (23011404209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277255 + ... + 1295145.

It is an arithmetic number, because the mean of its divisors is an integer number (571984875).

Almost surely, 223011404200 is an apocalyptic number.

23011404200 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 23011404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27455274000).

23011404200 is an abundant number, since it is smaller than the sum of its proper divisors (31899143800).

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

23011404200 is a wasteful number, since it uses less digits than its factorization.

23011404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18075 (or 18066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23011404200 its reverse (240411032), we get a palindrome (23251815232).

The spelling of 23011404200 in words is "twenty-three billion, eleven million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 109 118 200 218 236 295 436 472 545 590 872 1090 1180 1475 2180 2360 2725 2950 4360 5450 5900 6431 10900 11800 12862 17891 21800 25724 32155 35782 51448 64310 71564 89455 128620 143128 160775 178910 257240 321550 357820 447275 643100 715640 894550 1055569 1286200 1789100 1950119 2111138 3578200 3900238 4222276 5277845 7800476 8444552 9750595 10555690 15600952 19501190 21111380 26389225 39002380 42222760 48752975 52778450 78004760 97505950 105556900 115057021 195011900 211113800 230114042 390023800 460228084 575285105 920456168 1150570210 2301140420 2876425525 4602280840 5752851050 11505702100 23011404200