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200230295841 = 36165732
BaseRepresentation
bin1011101001111010100…
…1111101100100100001
3201010211101121221000000
42322132221331210201
511240032423431331
6231552354050213
720315615301312
oct2723651754441
9633741557000
10200230295841
1177a0a866944
1232980879969
1315b5cc52cc4
14999690c609
15531d7b50e6
hex2e9ea7d921

200230295841 has 21 divisors (see below), whose sum is σ = 300226226979. Its totient is φ = 133478809416.

The previous prime is 200230295833. The next prime is 200230295857. The reversal of 200230295841 is 148592032002.

It is a happy number.

The square root of 200230295841 is 447471.

It is a perfect power (a square), and thus also a powerful number.

200230295841 is a `hidden beast` number, since 20 + 0 + 2 + 30 + 29 + 584 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136526555025 + 63703740816 = 369495^2 + 252396^2 .

It is not a de Polignac number, because 200230295841 - 23 = 200230295833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200230295796 and 200230295805.

It is not an unprimeable number, because it can be changed into a prime (200230291841) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12073431 + ... + 12090003.

It is an arithmetic number, because the mean of its divisors is an integer number (14296486999).

Almost surely, 2200230295841 is an apocalyptic number.

200230295841 is the 447471-st square number.

200230295841 is the 223736-th centered octagonal number.

It is an amenable number.

200230295841 is a deficient number, since it is larger than the sum of its proper divisors (99995931138).

200230295841 is an frugal number, since it uses more digits than its factorization.

200230295841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33164 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 200230295841 by its sum of digits (36), we get a square (7208290650276 = 26848262).

The spelling of 200230295841 in words is "two hundred billion, two hundred thirty million, two hundred ninety-five thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 243 729 16573 49719 149157 447471 1342413 4027239 12081717 274664329 823992987 2471978961 7415936883 22247810649 66743431947 200230295841