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159093288225 = 3252265912
BaseRepresentation
bin1001010000101010110…
…0101110110100100001
3120012122111002102021100
42110022230232310201
510101310340210400
6201030401145013
714331323431434
oct2241254566441
9505574072240
10159093288225
1161520017193
1226a0002b169
1312005463291
1479b332b81b
154212087100
hex250ab2ed21

159093288225 has 27 divisors (see below), whose sum is σ = 284964472819. Its totient is φ = 84846562800.

The previous prime is 159093288217. The next prime is 159093288229. The reversal of 159093288225 is 522882390951.

It is a happy number.

The square root of 159093288225 is 398865.

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

159093288225 is a `hidden beast` number, since 1 + 5 + 90 + 9 + 328 + 8 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57273583761 + 101819704464 = 239319^2 + 319092^2 .

It is not a de Polignac number, because 159093288225 - 23 = 159093288217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159093288229) 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, 5969680 + ... + 5996270.

Almost surely, 2159093288225 is an apocalyptic number.

159093288225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159093288225 is the 398865-th square number.

159093288225 is the 199433-rd centered octagonal number.

It is an amenable number.

159093288225 is a deficient number, since it is larger than the sum of its proper divisors (125871184594).

159093288225 is an frugal number, since it uses more digits than its factorization.

159093288225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53198 (or 26599 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 159093288225 in words is "one hundred fifty-nine billion, ninety-three million, two hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 26591 79773 132955 239319 398865 664775 1196595 1994325 5982975 707081281 2121243843 3535406405 6363731529 10606219215 17677032025 31818657645 53031096075 159093288225