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200022202112200 = 23521376931616197
BaseRepresentation
bin101101011110101101001100…
…010011011101100011001000
3222020012221021011211012212021
4231132231030103131203020
5202204130432220042300
61545224533041454224
760063061430205556
oct5536551423354310
9866187234735767
10200022202112200
1158807a37584906
121a525786941374
13877c021c57690
1437571aa576bd6
15181d0832e2d1a
hexb5eb4c4dd8c8

200022202112200 has 48 divisors (see below), whose sum is σ = 500824821448980. Its totient is φ = 73854351548160.

The previous prime is 200022202112137. The next prime is 200022202112207. The reversal of 200022202112200 is 2211202220002.

It can be written as a sum of positive squares in 6 ways, for example, as 100308277221604 + 99713924890596 = 10015402^2 + 9985686^2 .

It is a super-2 number, since 2×2000222021122002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200022202112207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38465805499 + ... + 38465810698.

Almost surely, 2200022202112200 is an apocalyptic number.

200022202112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022202112200 is an abundant number, since it is smaller than the sum of its proper divisors (300802619336780).

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

200022202112200 is a wasteful number, since it uses less digits than its factorization.

200022202112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76931616226 (or 76931616217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200022202112200 its reverse (2211202220002), we get a palindrome (202233404332202).

The spelling of 200022202112200 in words is "two hundred trillion, twenty-two billion, two hundred two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 76931616197 153863232394 307726464788 384658080985 615452929576 769316161970 1000111010561 1538632323940 1923290404925 2000222021122 3077264647880 3846580809850 4000444042244 5000555052805 7693161619700 8000888084488 10001110105610 15386323239400 20002220211220 25002775264025 40004440422440 50005550528050 100011101056100 200022202112200