Search a number
-
+
213245235 = 3257532241
BaseRepresentation
bin11001011010111…
…01110100110011
3112212020222110200
430231131310303
5414042321420
633054330243
75166361140
oct1455356463
9485228420
10213245235
11aa40a335
125b4b9983
1335244018
142046d3c7
1513ac3b90
hexcb5dd33

213245235 has 72 divisors (see below), whose sum is σ = 432335904. Its totient is φ = 95247360.

The previous prime is 213245233. The next prime is 213245237. The reversal of 213245235 is 532542312.

It is a happy number.

213245235 is a `hidden beast` number, since 2 + 132 + 4 + 523 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (213245233) and next prime (213245237).

It is not a de Polignac number, because 213245235 - 21 = 213245233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213245199 and 213245208.

It is not an unprimeable number, because it can be changed into a prime (213245233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 884715 + ... + 884955.

Almost surely, 2213245235 is an apocalyptic number.

213245235 is an abundant number, since it is smaller than the sum of its proper divisors (219090669).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213245235 is a wasteful number, since it uses less digits than its factorization.

213245235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 309 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 213245235 is about 14602.9187151062. The cubic root of 213245235 is about 597.4383706560.

Adding to 213245235 its reverse (532542312), we get a palindrome (745787547).

The spelling of 213245235 in words is "two hundred thirteen million, two hundred forty-five thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 241 265 315 371 477 723 795 1113 1205 1687 1855 2169 2385 2809 3339 3615 5061 5565 8427 8435 10845 12773 14045 15183 16695 19663 25281 25305 38319 42135 58989 63865 75915 89411 98315 114957 126405 176967 191595 268233 294945 447055 574785 676969 804699 884835 1341165 2030907 3384845 4023495 4738783 6092721 10154535 14216349 23693915 30463605 42649047 71081745 213245235