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223113132 = 223211563417
BaseRepresentation
bin11010100110001…
…10111110101100
3120112211022200100
431103012332230
5424104110012
634050031100
75346300414
oct1523067654
9515738610
10223113132
11104a3a220
1262878490
13372ba708
14218bb644
15148c28dc
hexd4c6fac

223113132 has 36 divisors (see below), whose sum is σ = 615252456. Its totient is φ = 67609920.

The previous prime is 223113127. The next prime is 223113139. The reversal of 223113132 is 231311322.

223113132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2231131323 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (223113139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281313 + ... + 282104.

It is an arithmetic number, because the mean of its divisors is an integer number (17090346).

Almost surely, 2223113132 is an apocalyptic number.

223113132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223113132 is an abundant number, since it is smaller than the sum of its proper divisors (392139324).

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

223113132 is a wasteful number, since it uses less digits than its factorization.

223113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563438 (or 563433 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 223113132 is about 14936.9719822995. The cubic root of 223113132 is about 606.5152302180.

Adding to 223113132 its reverse (231311322), we get a palindrome (454424454).

The spelling of 223113132 in words is "two hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 563417 1126834 1690251 2253668 3380502 5070753 6197587 6761004 10141506 12395174 18592761 20283012 24790348 37185522 55778283 74371044 111556566 223113132