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195468361 = 112312412
BaseRepresentation
bin10111010011010…
…01110001001001
3111121210211011221
423221221301021
5400014441421
631221322041
74562311414
oct1351516111
9447724157
10195468361
11a0378300
1255566321
133165b76a
141bd62b7b
1512261841
hexba69c49

195468361 has 27 divisors (see below), whose sum is σ = 227554887. Its totient is φ = 167772000.

The previous prime is 195468337. The next prime is 195468379. The reversal of 195468361 is 163864591.

The square root of 195468361 is 13981.

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

195468361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9418761 + 186049600 = 3069^2 + 13640^2 .

It is not a de Polignac number, because 195468361 - 27 = 195468233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195468311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4767501 + ... + 4767541.

Almost surely, 2195468361 is an apocalyptic number.

195468361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

195468361 is the 13981-st square number.

195468361 is the 6991-st centered octagonal number.

It is an amenable number.

195468361 is a deficient number, since it is larger than the sum of its proper divisors (32086526).

195468361 is an equidigital number, since it uses as much as digits as its factorization.

195468361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The cubic root of 195468361 is about 580.3528976042.

The spelling of 195468361 in words is "one hundred ninety-five million, four hundred sixty-eight thousand, three hundred sixty-one".

Divisors: 1 11 31 41 121 341 451 961 1271 1681 3751 4961 10571 13981 18491 39401 52111 116281 153791 203401 433411 573221 1615441 4767521 6305431 17769851 195468361