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213483192 = 233133718493
BaseRepresentation
bin11001011100101…
…11111010111000
3112212201001212220
430232113322320
5414122430232
633103404040
75201401656
oct1456277270
9485631786
10213483192
11aa56209a
125b5b3620
13352c8420
14204d1dd6
1513b1e42c
hexcb97eb8

213483192 has 64 divisors (see below), whose sum is σ = 590328480. Its totient is φ = 63908352.

The previous prime is 213483191. The next prime is 213483199. The reversal of 213483192 is 291384312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213483191) 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 15 ways as a sum of consecutive naturals, for example, 2298 + ... + 20790.

Almost surely, 2213483192 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 213483192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295164240).

213483192 is an abundant number, since it is smaller than the sum of its proper divisors (376845288).

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

213483192 is a wasteful number, since it uses less digits than its factorization.

213483192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18552 (or 18548 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 213483192 is about 14611.0640269626. The cubic root of 213483192 is about 597.6605120720.

The spelling of 213483192 in words is "two hundred thirteen million, four hundred eighty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 18493 36986 55479 73972 110958 147944 221916 240409 443832 480818 684241 721227 961636 1368482 1442454 1923272 2052723 2736964 2884908 4105446 5473928 5769816 8210892 8895133 16421784 17790266 26685399 35580532 53370798 71161064 106741596 213483192