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205231801 = 15129001
BaseRepresentation
bin11000011101110…
…01011010111001
3112022011212002211
430032321122321
5410014404201
632210455121
75041304305
oct1416713271
9468155084
10205231801
11a5936765
12588944a1
1333699748
141d384d05
151303e651
hexc3b96b9

205231801 has 6 divisors (see below), whose sum is σ = 206622906. Its totient is φ = 203850000.

The previous prime is 205231781. The next prime is 205231841. The reversal of 205231801 is 108132502.

It can be written as a sum of positive squares in only one way, i.e., 145926400 + 59305401 = 12080^2 + 7701^2 .

It is not a de Polignac number, because 205231801 - 211 = 205229753 is a prime.

It is a super-3 number, since 3×2052318013 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205231841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18301 + ... + 27301.

It is an arithmetic number, because the mean of its divisors is an integer number (34437151).

Almost surely, 2205231801 is an apocalyptic number.

It is an amenable number.

205231801 is a deficient number, since it is larger than the sum of its proper divisors (1391105).

205231801 is an frugal number, since it uses more digits than its factorization.

205231801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 205231801 is about 14325.9136183351. The cubic root of 205231801 is about 589.8590116051.

The spelling of 205231801 in words is "two hundred five million, two hundred thirty-one thousand, eight hundred one".

Divisors: 1 151 9001 22801 1359151 205231801