Search a number
-
+
223120032 = 2534156687
BaseRepresentation
bin11010100110010…
…00101010100000
3120112211200010220
431103020222200
5424104320112
634050123040
75346326502
oct1523105240
9515750126
10223120032
11104a44423
1262880480
13372c08b5
14218bdd72
15148c498c
hexd4c8aa0

223120032 has 48 divisors (see below), whose sum is σ = 599985792. Its totient is φ = 72558080.

The previous prime is 223120031. The next prime is 223120043. The reversal of 223120032 is 230021322.

223120032 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 (48).

It is a super-3 number, since 3×2231200323 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223119993 and 223120020.

It is not an unprimeable number, because it can be changed into a prime (223120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24408 + ... + 32279.

It is an arithmetic number, because the mean of its divisors is an integer number (12499704).

Almost surely, 2223120032 is an apocalyptic number.

It is an amenable number.

223120032 is an abundant number, since it is smaller than the sum of its proper divisors (376865760).

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

223120032 is a wasteful number, since it uses less digits than its factorization.

223120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56741 (or 56733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223120032 is about 14937.2029510213. The cubic root of 223120032 is about 606.5214825198.

Adding to 223120032 its reverse (230021322), we get a palindrome (453141354).

The spelling of 223120032 in words is "two hundred twenty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 56687 113374 170061 226748 340122 453496 680244 906992 1360488 1813984 2324167 2720976 4648334 5441952 6972501 9296668 13945002 18593336 27890004 37186672 55780008 74373344 111560016 223120032