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336185434225 = 521159632
BaseRepresentation
bin1001110010001100011…
…01101010000001110001
31012010202100012112201201
410321012031222001301
521002001432343400
6414235204331201
733200663020204
oct4710615520161
91163670175651
10336185434225
1111a636a05643
12551a39a3b01
1325918816c54
14123b2c6993b
158b2934e06a
hex4e4636a071

336185434225 has 9 divisors (see below), whose sum is σ = 416873533323. Its totient is φ = 268946028120.

The previous prime is 336185434183. The next prime is 336185434231. The reversal of 336185434225 is 522434581633.

The square root of 336185434225 is 579815.

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., 121026756321 + 215158677904 = 347889^2 + 463852^2 .

It is not a de Polignac number, because 336185434225 - 225 = 336151879793 is a prime.

It is a super-2 number, since 2×3361854342252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2841094 + ... + 2957056.

Almost surely, 2336185434225 is an apocalyptic number.

336185434225 is the 579815-th square number.

336185434225 is the 289908-th centered octagonal number.

It is an amenable number.

336185434225 is a deficient number, since it is larger than the sum of its proper divisors (80688099098).

336185434225 is an frugal number, since it uses more digits than its factorization.

336185434225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231936 (or 115968 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The spelling of 336185434225 in words is "three hundred thirty-six billion, one hundred eighty-five million, four hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 115963 579815 2899075 13447417369 67237086845 336185434225