Search a number
-
+
223310328 = 23365314249
BaseRepresentation
bin11010100111101…
…11000111111000
3120120012100011220
431103313013320
5424131412303
634054152040
75351051343
oct1523670770
9516170156
10223310328
1110506439a
1262952620
13373593b7
142192d45a
1514911053
hexd4f71f8

223310328 has 32 divisors (see below), whose sum is σ = 559170000. Its totient is φ = 74317568.

The previous prime is 223310299. The next prime is 223310341. The reversal of 223310328 is 823013322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223310298 and 223310307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8548 + ... + 22796.

Almost surely, 2223310328 is an apocalyptic number.

It is an amenable number.

223310328 is an abundant number, since it is smaller than the sum of its proper divisors (335859672).

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

223310328 is a wasteful number, since it uses less digits than its factorization.

223310328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 223310328 is about 14943.5714606650. The cubic root of 223310328 is about 606.6938647925.

It can be divided in two parts, 2233 and 10328, that added together give a triangular number (12561 = T158).

The spelling of 223310328 in words is "two hundred twenty-three million, three hundred ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 653 1306 1959 2612 3918 5224 7836 14249 15672 28498 42747 56996 85494 113992 170988 341976 9304597 18609194 27913791 37218388 55827582 74436776 111655164 223310328