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242768071225 = 52985432
BaseRepresentation
bin1110001000011000011…
…0101100101000111001
3212012121220221210212101
43202012012230220321
512434142111234400
6303305350143401
723353006362211
oct3420606545071
9765556853771
10242768071225
1193a5927a109
123b072651b61
1319b7b9ccab4
14ba70161241
1564ace8a56a
hex38861aca39

242768071225 has 9 divisors (see below), whose sum is σ = 301035463183. Its totient is φ = 194212486120.

The previous prime is 242768071219. The next prime is 242768071261. The reversal of 242768071225 is 522170867242.

The square root of 242768071225 is 492715.

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., 87396505641 + 155371565584 = 295629^2 + 394172^2 .

It is not a de Polignac number, because 242768071225 - 211 = 242768069177 is a prime.

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, 2414304 + ... + 2512846.

Almost surely, 2242768071225 is an apocalyptic number.

242768071225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242768071225 is the 492715-th square number.

242768071225 is the 246358-th centered octagonal number.

It is an amenable number.

242768071225 is a deficient number, since it is larger than the sum of its proper divisors (58267391958).

242768071225 is an frugal number, since it uses more digits than its factorization.

242768071225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197096 (or 98548 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 242768071225 in words is "two hundred forty-two billion, seven hundred sixty-eight million, seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 25 98543 492715 2463575 9710722849 48553614245 242768071225