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213941838 = 231117474057
BaseRepresentation
bin11001100000001…
…11111001001110
3112220120101000210
430300013321032
5414232114323
633121303250
75205322065
oct1460077116
9486511023
10213941838
11aa845740
125b794b26
1335429106
14205b11dc
1513bb0293
hexcc07e4e

213941838 has 64 divisors (see below), whose sum is σ = 504880128. Its totient is φ = 59704320.

The previous prime is 213941801. The next prime is 213941839. The reversal of 213941838 is 838149312.

213941838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2139418382 = 91542220093636488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213941796 and 213941805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213941839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50706 + ... + 54762.

It is an arithmetic number, because the mean of its divisors is an integer number (7888752).

Almost surely, 2213941838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213941838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252440064).

213941838 is an abundant number, since it is smaller than the sum of its proper divisors (290938290).

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

213941838 is a wasteful number, since it uses less digits than its factorization.

213941838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137.

The product of its digits is 41472, while the sum is 39.

The square root of 213941838 is about 14626.7507670022. The cubic root of 213941838 is about 598.0882093418.

It can be divided in two parts, 21394 and 1838, that added together give a palindrome (23232).

The spelling of 213941838 in words is "two hundred thirteen million, nine hundred forty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 94 102 141 187 282 374 517 561 799 1034 1122 1551 1598 2397 3102 4057 4794 8114 8789 12171 17578 24342 26367 44627 52734 68969 89254 133881 137938 190679 206907 267762 381358 413814 572037 758659 1144074 1517318 2097469 2275977 3241543 4194938 4551954 6292407 6483086 9724629 12584814 19449258 35656973 71313946 106970919 213941838