Search a number
-
+
205502031 = 32724310837
BaseRepresentation
bin11000011111110…
…11011001001111
3112022200120210100
430033323121033
5410102031111
632220342143
75043511200
oct1417733117
9468616710
10205502031
11a6000799
12589a4953
1333762747
141d4155a7
1513094756
hexc3fb64f

205502031 has 36 divisors (see below), whose sum is σ = 353362152. Its totient is φ = 114688224.

The previous prime is 205502027. The next prime is 205502051. The reversal of 205502031 is 130205502.

It is a happy number.

It is not a de Polignac number, because 205502031 - 22 = 205502027 is a prime.

It is a super-2 number, since 2×2055020312 = 84462169490249922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205501995 and 205502013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205502051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13545 + ... + 24381.

Almost surely, 2205502031 is an apocalyptic number.

205502031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205502031 is a deficient number, since it is larger than the sum of its proper divisors (147860121).

205502031 is a wasteful number, since it uses less digits than its factorization.

205502031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205502031 is about 14335.3420259162. The cubic root of 205502031 is about 590.1177884144.

Adding to 205502031 its reverse (130205502), we get a palindrome (335707533).

The spelling of 205502031 in words is "two hundred five million, five hundred two thousand, thirty-one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 2107 2709 6321 10837 18963 32511 75859 97533 227577 465991 531013 682731 1397973 1593039 3261937 4193919 4779117 9785811 22833559 29357433 68500677 205502031