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7168162225 = 5272412592
BaseRepresentation
bin1101010110100000…
…10111100110110001
3200111120011100222211
412223100113212301
5104140022142400
63143142332121
7342430242100
oct65320274661
920446140884
107168162225
113049271414
12148072a041
138a30c3913
144c0012037
152be484dba
hex1ab4179b1

7168162225 has 81 divisors (see below), whose sum is σ = 10780719681. Its totient is φ = 4714147200.

The previous prime is 7168162213. The next prime is 7168162229. The reversal of 7168162225 is 5222618617.

The square root of 7168162225 is 84665.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3017195041 + 4150967184 = 54929^2 + 64428^2 .

It is a de Polignac number, because none of the positive numbers 2k-7168162225 is a prime.

It is a Duffinian number.

Its product of digits (80640) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (7168162229) 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 80 ways as a sum of consecutive naturals, for example, 121494246 + ... + 121494304.

Almost surely, 27168162225 is an apocalyptic number.

7168162225 is the 84665-th square number.

7168162225 is the 42333-rd centered octagonal number.

It is an amenable number.

7168162225 is a deficient number, since it is larger than the sum of its proper divisors (3612557456).

7168162225 is an equidigital number, since it uses as much as digits as its factorization.

7168162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The cubic root of 7168162225 is about 1928.1283568156.

The spelling of 7168162225 in words is "seven billion, one hundred sixty-eight million, one hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 59 175 205 245 287 295 413 1025 1225 1435 1475 1681 2009 2065 2419 2891 3481 7175 8405 10045 10325 11767 12095 14455 16933 17405 24367 42025 50225 58835 60475 72275 82369 84665 87025 99179 118531 121835 142721 170569 294175 411845 423325 495895 592655 609175 694253 713605 852845 999047 2059225 2479475 2963275 3471265 3568025 4264225 4859771 4995235 5851561 6993329 17356325 24298855 24976175 29257805 34966645 40960927 121494275 146289025 174833225 204804635 286726489 1024023175 1433632445 7168162225