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223136 = 2519367
BaseRepresentation
bin110110011110100000
3102100002022
4312132200
524120021
64441012
71616354
oct663640
9370068
10223136
11142711
12a9168
137a744
145b464
15461ab
hex367a0

223136 has 24 divisors (see below), whose sum is σ = 463680. Its totient is φ = 105408.

The previous prime is 223133. The next prime is 223151. The reversal of 223136 is 631322.

223136 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-3 number, since 3×2231363 = 33329606425018368, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (19320).

2223136 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 223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231840).

223136 is an abundant number, since it is smaller than the sum of its proper divisors (240544).

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

223136 is a wasteful number, since it uses less digits than its factorization.

223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 223136 is about 472.3727341835. The cubic root of 223136 is about 60.6535951121.

Adding to 223136 its reverse (631322), we get a palindrome (854458).

The spelling of 223136 in words is "two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 367 608 734 1468 2936 5872 6973 11744 13946 27892 55784 111568 223136