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185203213 = 1325092153
BaseRepresentation
bin10110000100111…
…11101000001101
3110220111022001021
423002133220031
5334403000323
630213314141
74406126026
oct1302375015
9426438037
10185203213
11955a6a08
1252035951
132c4a6300
141a84dc4d
15113d505d
hexb09fa0d

185203213 has 12 divisors (see below), whose sum is σ = 201032820. Its totient is φ = 170541696.

The previous prime is 185203189. The next prime is 185203217. The reversal of 185203213 is 312302581.

185203213 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 6 ways, for example, as 38962564 + 146240649 = 6242^2 + 12093^2 .

It is not a de Polignac number, because 185203213 - 225 = 151648781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185203217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84945 + ... + 87097.

It is an arithmetic number, because the mean of its divisors is an integer number (16752735).

Almost surely, 2185203213 is an apocalyptic number.

185203213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

185203213 is a deficient number, since it is larger than the sum of its proper divisors (15829607).

185203213 is a wasteful number, since it uses less digits than its factorization.

185203213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 185203213 is about 13608.9387168875. The cubic root of 185203213 is about 570.0104779032.

Adding to 185203213 its reverse (312302581), we get a palindrome (497505794).

The spelling of 185203213 in words is "one hundred eighty-five million, two hundred three thousand, two hundred thirteen".

Divisors: 1 13 169 509 2153 6617 27989 86021 363857 1095877 14246401 185203213