Search a number
-
+
202698290956225 = 5231429632
BaseRepresentation
bin101110000101101001011111…
…101000010000011111000001
3222120200202201102002212221211
4232011221133220100133001
5203032002044441044400
61555034150453050121
760460316416106311
oct5605513750203701
9876622642085854
10202698290956225
1159649953a02959
121a898353626941
13891449cb9837c
14380a91481b441
1518679ab085dba
hexb85a5fa107c1

202698290956225 has 45 divisors (see below), whose sum is σ = 259811753100515. Its totient is φ = 156874746687600.

The previous prime is 202698290956219. The next prime is 202698290956229. The reversal of 202698290956225 is 522659092896202.

The square root of 202698290956225 is 14237215.

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., 72971384744241 + 129726906211984 = 8542329^2 + 11389772^2 .

It is not a de Polignac number, because 202698290956225 - 229 = 202697754085313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202698290956229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68409816594 + ... + 68409819556.

Almost surely, 2202698290956225 is an apocalyptic number.

202698290956225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202698290956225 is the 14237215-th square number.

202698290956225 is the 7118608-th centered octagonal number.

It is an amenable number.

202698290956225 is a deficient number, since it is larger than the sum of its proper divisors (57113462144290).

202698290956225 is an frugal number, since it uses more digits than its factorization.

202698290956225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 67.

The spelling of 202698290956225 in words is "two hundred two trillion, six hundred ninety-eight billion, two hundred ninety million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 2963 4805 14815 24025 29791 74075 91853 148955 459265 744775 923521 2296325 2847443 4617605 8779369 14237215 23088025 43896845 71186075 88270733 219484225 272160439 441353665 1360802195 2206768325 2736392723 6804010975 8436973609 13681963615 42184868045 68409818075 210924340225 261546181879 1307730909395 6538654546975 8107931638249 40539658191245 202698290956225