Search a number
-
+
200289366369 = 3224126192
BaseRepresentation
bin1011101010001000101…
…1010011000101100001
3201010222111210000112100
42322202023103011201
511240143034210434
6232002304121013
720320233344511
oct2724213230541
9633874700470
10200289366369
1177a40142464
1232998606169
1315b6c265b91
1499a06c7841
155323a82699
hex2ea22d3161

200289366369 has 27 divisors (see below), whose sum is σ = 290982370419. Its totient is φ = 132757375680.

The previous prime is 200289366323. The next prime is 200289366379. The reversal of 200289366369 is 963663982002.

The square root of 200289366369 is 447537.

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

It can be written as a sum of positive squares in only one way, i.e., 150631700769 + 49657665600 = 388113^2 + 222840^2 .

It is not a de Polignac number, because 200289366369 - 225 = 200255811937 is a prime.

It is a super-2 number, since 2×2002893663692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200289366379) 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 26 ways as a sum of consecutive naturals, for example, 323568942 + ... + 323569560.

Almost surely, 2200289366369 is an apocalyptic number.

200289366369 is the 447537-th square number.

200289366369 is the 223769-th centered octagonal number.

It is an amenable number.

200289366369 is a deficient number, since it is larger than the sum of its proper divisors (90693004050).

200289366369 is an frugal number, since it uses more digits than its factorization.

200289366369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 200289366369 in words is "two hundred billion, two hundred eighty-nine million, three hundred sixty-six thousand, three hundred sixty-nine".

Divisors: 1 3 9 241 619 723 1857 2169 5571 58081 149179 174243 383161 447537 522729 1149483 1342611 3448449 35952139 92341801 107856417 277025403 323569251 831076209 22254374041 66763122123 200289366369