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213143364 = 223271635189
BaseRepresentation
bin11001011010001…
…00111101000100
3112212001210201200
430231010331010
5414031041424
633052222500
75165455140
oct1455047504
9485053650
10213143364
11aa34a845
125b46aa30
1335209845
1420444220
1513aa38c9
hexcb44f44

213143364 has 72 divisors (see below), whose sum is σ = 619644480. Its totient is φ = 60512832.

The previous prime is 213143363. The next prime is 213143377. The reversal of 213143364 is 463341312.

213143364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213143363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38482 + ... + 43670.

Almost surely, 2213143364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213143364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309822240).

213143364 is an abundant number, since it is smaller than the sum of its proper divisors (406501116).

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

213143364 is a wasteful number, since it uses less digits than its factorization.

213143364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5364 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 213143364 is about 14599.4302628562. The cubic root of 213143364 is about 597.3432198962.

Adding to 213143364 its reverse (463341312), we get a palindrome (676484676).

The spelling of 213143364 in words is "two hundred thirteen million, one hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1467 1956 2282 2934 3423 4564 5189 5868 6846 10269 10378 13692 15567 20538 20756 31134 36323 41076 46701 62268 72646 93402 108969 145292 186804 217938 326907 435876 653814 845807 1307628 1691614 2537421 3383228 5074842 5920649 7612263 10149684 11841298 15224526 17761947 23682596 30449052 35523894 53285841 71047788 106571682 213143364