Search a number
-
+
213537213 = 3210921997
BaseRepresentation
bin11001011101001…
…01000110111101
3112212210210222200
430232211012331
5414131142323
633104502113
75202015321
oct1456450675
9485723880
10213537213
11aa59973a
125b61a939
1335316ba6
1420507981
1513b30443
hexcba51bd

213537213 has 18 divisors (see below), whose sum is σ = 311454234. Its totient is φ = 140981472.

The previous prime is 213537199. The next prime is 213537217. The reversal of 213537213 is 312735312.

It can be written as a sum of positive squares in 3 ways, for example, as 16499844 + 197037369 = 4062^2 + 14037^2 .

It is not a de Polignac number, because 213537213 - 24 = 213537197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213537217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105931 + ... + 107927.

It is an arithmetic number, because the mean of its divisors is an integer number (17303013).

Almost surely, 2213537213 is an apocalyptic number.

It is an amenable number.

213537213 is a deficient number, since it is larger than the sum of its proper divisors (97917021).

213537213 is a wasteful number, since it uses less digits than its factorization.

213537213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2109 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 213537213 is about 14612.9125433638. The cubic root of 213537213 is about 597.7109196244.

The spelling of 213537213 in words is "two hundred thirteen million, five hundred thirty-seven thousand, two hundred thirteen".

Divisors: 1 3 9 109 327 981 1997 5991 11881 17973 35643 106929 217673 653019 1959057 23726357 71179071 213537213