Search a number
-
+
200210122220024 = 23732712303947441
BaseRepresentation
bin101101100001011100001101…
…001101110010000111111000
3222020212220022122122210112202
4231201130031031302013320
5202220220312242020044
61545451132125525332
760112463316602210
oct5541341515620770
9866786278583482
10200210122220024
115887a6aa587244
121a556090a13848
13879396c6bba57
1437623161a1240
151822dd0eb4c4e
hexb6170d3721f8

200210122220024 has 64 divisors (see below), whose sum is σ = 429180523315200. Its totient is φ = 85772575065600.

The previous prime is 200210122220023. The next prime is 200210122220027. The reversal of 200210122220024 is 420022221012002.

200210122220024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200210122219978 and 200210122220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210122220023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220168144 + ... + 4220215584.

It is an arithmetic number, because the mean of its divisors is an integer number (6705945676800).

Almost surely, 2200210122220024 is an apocalyptic number.

It is an amenable number.

200210122220024 is an abundant number, since it is smaller than the sum of its proper divisors (228970401095176).

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

200210122220024 is a wasteful number, since it uses less digits than its factorization.

200210122220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73764 (or 73760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 200210122220024 its reverse (420022221012002), we get a palindrome (620232343232026).

The spelling of 200210122220024 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 3271 6542 13084 22897 23039 26168 45794 46078 47441 91588 92156 94882 161273 183176 184312 189764 322546 332087 379528 645092 664174 1290184 1328348 2656696 75360569 150721138 155179511 301442276 310359022 527523983 602884552 620718044 1055047966 1086256577 1092993199 1241436088 2110095932 2172513154 2185986398 4220191864 4345026308 4371972796 7650952393 8690052616 8743945592 15301904786 30603809572 61207619144 3575180753929 7150361507858 14300723015716 25026265277503 28601446031432 50052530555006 100105061110012 200210122220024