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213352412 = 22713432317
BaseRepresentation
bin11001011011101…
…11111111011100
3112212110102111012
430231313333130
5414104234122
633100514352
75200315460
oct1455677734
9485412435
10213352412
11aa482909
125b54b9b8
1335280a40
142049a4a0
1513ae57e2
hexcb77fdc

213352412 has 72 divisors (see below), whose sum is σ = 471947616. Its totient is φ = 82180224.

The previous prime is 213352367. The next prime is 213352421. The reversal of 213352412 is 214253312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672878 + ... + 673194.

It is an arithmetic number, because the mean of its divisors is an integer number (6554828).

Almost surely, 2213352412 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 213352412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235973808).

213352412 is an abundant number, since it is smaller than the sum of its proper divisors (258595204).

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

213352412 is a wasteful number, since it uses less digits than its factorization.

213352412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 382 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 213352412 is about 14606.5879657092. The cubic root of 213352412 is about 597.5384446824.

It can be divided in two parts, 2133 and 52412, that added together give a palindrome (54545).

The spelling of 213352412 in words is "two hundred thirteen million, three hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 301 317 364 559 602 634 1118 1204 1268 1849 2219 2236 3698 3913 4121 4438 7396 7826 8242 8876 12943 13631 15652 16484 24037 25886 27262 28847 48074 51772 54524 57694 95417 96148 115388 168259 177203 190834 336518 354406 381668 586133 673036 708812 1172266 1240421 2344532 2480842 4102931 4961684 7619729 8205862 15239458 16411724 30478916 53338103 106676206 213352412