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223132016 = 24232232719
BaseRepresentation
bin11010100110010…
…11100101110000
3120112212021120202
431103023211300
5424110211031
634050254332
75346406442
oct1523134560
9515767522
10223132016
11104a52428
12628873a8
13372c61a3
14218c4492
15148c82cb
hexd4cb970

223132016 has 40 divisors (see below), whose sum is σ = 453304320. Its totient is φ = 106197696.

The previous prime is 223132009. The next prime is 223132027. The reversal of 223132016 is 610231322.

It is a happy number.

223132016 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 3×2231320163 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80705 + ... + 83423.

It is an arithmetic number, because the mean of its divisors is an integer number (11332608).

Almost surely, 2223132016 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 223132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226652160).

223132016 is an abundant number, since it is smaller than the sum of its proper divisors (230172304).

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

223132016 is a wasteful number, since it uses less digits than its factorization.

223132016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 223132016 is about 14937.6040916875. The cubic root of 223132016 is about 606.5323412838.

Adding to 223132016 its reverse (610231322), we get a palindrome (833363338).

The spelling of 223132016 in words is "two hundred twenty-three million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 223 368 446 892 1784 2719 3568 5129 5438 10258 10876 20516 21752 41032 43504 62537 82064 125074 250148 500296 606337 1000592 1212674 2425348 4850696 9701392 13945751 27891502 55783004 111566008 223132016