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223328028 = 223711263919
BaseRepresentation
bin11010100111110…
…11011100011100
3120120020020110110
431103323130130
5424132444103
634054410020
75351154060
oct1523733434
9516206413
10223328028
11105076720
1262960910
1337364481
1421935aa0
1514916403
hexd4fb71c

223328028 has 96 divisors (see below), whose sum is σ = 652861440. Its totient is φ = 57723840.

The previous prime is 223328011. The next prime is 223328051. The reversal of 223328028 is 820823322.

It is a junction number, because it is equal to n+sod(n) for n = 223327986 and 223328004.

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 31 ways as a sum of consecutive naturals, for example, 242553 + ... + 243471.

It is an arithmetic number, because the mean of its divisors is an integer number (6800640).

Almost surely, 2223328028 is an apocalyptic number.

223328028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223328028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326430720).

223328028 is an abundant number, since it is smaller than the sum of its proper divisors (429533412).

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

223328028 is a wasteful number, since it uses less digits than its factorization.

223328028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 223328028 is about 14944.1636768338. The cubic root of 223328028 is about 606.7098936044.

The spelling of 223328028 in words is "two hundred twenty-three million, three hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 263 308 462 526 789 919 924 1052 1578 1838 1841 2757 2893 3156 3676 3682 5514 5523 5786 6433 7364 8679 10109 11028 11046 11572 12866 17358 19299 20218 20251 22092 25732 30327 34716 38598 40436 40502 60654 60753 70763 77196 81004 121308 121506 141526 212289 241697 243012 283052 424578 483394 725091 849156 966788 1450182 1691879 2658667 2900364 3383758 5075637 5317334 6767516 7976001 10151274 10634668 15952002 18610669 20302548 31904004 37221338 55832007 74442676 111664014 223328028