Search a number
-
+
212145733 = 472137701
BaseRepresentation
bin11001010010100…
…01011001000101
3112210012010020101
430221101121011
5413302130413
633015004101
75154131452
oct1451213105
9483163211
10212145733
11a9829258
125b069631
1334c4a727
1420264829
1513957edd
hexca51645

212145733 has 12 divisors (see below), whose sum is σ = 218649132. Its totient is φ = 205822400.

The previous prime is 212145709. The next prime is 212145751. The reversal of 212145733 is 337541212.

It can be written as a sum of positive squares in 2 ways, for example, as 156300004 + 55845729 = 12502^2 + 7473^2 .

It is not a de Polignac number, because 212145733 - 29 = 212145221 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 (212145763) 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, 302283 + ... + 302983.

It is an arithmetic number, because the mean of its divisors is an integer number (18220761).

Almost surely, 2212145733 is an apocalyptic number.

It is an amenable number.

212145733 is a deficient number, since it is larger than the sum of its proper divisors (6503399).

212145733 is an equidigital number, since it uses as much as digits as its factorization.

212145733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 885 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 212145733 is about 14565.2234105763. The cubic root of 212145733 is about 596.4097944815.

Adding to 212145733 its reverse (337541212), we get a palindrome (549686945).

It can be divided in two parts, 212145 and 733, that added together give a triangular number (212878 = T652).

The spelling of 212145733 in words is "two hundred twelve million, one hundred forty-five thousand, seven hundred thirty-three".

Divisors: 1 47 137 701 2209 6439 32947 96037 302633 1548509 4513739 212145733