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201895681 = 13210932
BaseRepresentation
bin11000000100010…
…10111100000001
3112001220100210211
430002022330001
5403141130211
632011154121
75001041101
oct1402127401
9461810724
10201895681
11a3a68239
1257745941
1332a9c100
141cb57201
1512ad0e21
hexc08af01

201895681 has 9 divisors (see below), whose sum is σ = 218820969. Its totient is φ = 186194736.

The previous prime is 201895669. The next prime is 201895697. The reversal of 201895681 is 186598102.

The square root of 201895681 is 14209.

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 14753281 + 187142400 = 3841^2 + 13680^2 .

It is not a de Polignac number, because 201895681 - 213 = 201887489 is a prime.

It is a super-2 number, since 2×2018956812 = 81523732012907522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201895381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184171 + ... + 185263.

It is an arithmetic number, because the mean of its divisors is an integer number (24313441).

Almost surely, 2201895681 is an apocalyptic number.

201895681 is the 14209-th square number.

201895681 is the 7105-th centered octagonal number.

It is an amenable number.

201895681 is a deficient number, since it is larger than the sum of its proper divisors (16925288).

201895681 is an frugal number, since it uses more digits than its factorization.

201895681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The cubic root of 201895681 is about 586.6454088300.

The spelling of 201895681 in words is "two hundred one million, eight hundred ninety-five thousand, six hundred eighty-one".

Divisors: 1 13 169 1093 14209 184717 1194649 15530437 201895681