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195218167225 = 529729112
BaseRepresentation
bin1011010111001111101…
…0001101010110111001
3200122220002102102002211
42311303322031112321
511144301322322400
6225403150455121
720050455020404
oct2656372152671
9618802372084
10195218167225
1175878625494
1231a022044a1
1315541738a23
14963cdb0d3b
155128764dba
hex2d73e8d5b9

195218167225 has 27 divisors (see below), whose sum is σ = 244860609261. Its totient is φ = 154394822400.

The previous prime is 195218167171. The next prime is 195218167229. The reversal of 195218167225 is 522761812591.

The square root of 195218167225 is 441835.

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 7177986729 + 188040180496 = 84723^2 + 433636^2 .

It is a de Polignac number, because none of the positive numbers 2k-195218167225 is a prime.

It is a super-2 number, since 2×1952181672252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195218167229) 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 26 ways as a sum of consecutive naturals, for example, 214289520 + ... + 214290430.

Almost surely, 2195218167225 is an apocalyptic number.

195218167225 is the 441835-th square number.

195218167225 is the 220918-th centered octagonal number.

It is an amenable number.

195218167225 is a deficient number, since it is larger than the sum of its proper divisors (49642442036).

195218167225 is an frugal number, since it uses more digits than its factorization.

195218167225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 1013 counting only the distinct ones).

The product of its digits is 604800, while the sum is 49.

Multiplying 195218167225 by its sum of digits (49), we get a square (9565690194025 = 30928452).

The spelling of 195218167225 in words is "one hundred ninety-five billion, two hundred eighteen million, one hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 97 485 911 2425 4555 9409 22775 47045 88367 235225 441835 829921 2209175 4149605 8571599 20748025 42857995 80502337 214289975 402511685 2012558425 7808726689 39043633445 195218167225