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223078328 = 231137131523
BaseRepresentation
bin11010100101111…
…10011110111000
3120112202112221022
431102332132320
5424102001303
634045202012
75346064064
oct1522763670
9515675838
10223078328
11104a16060
1262860308
13372a7915
14218acaa4
15148b7438
hexd4be7b8

223078328 has 64 divisors (see below), whose sum is σ = 473109120. Its totient is φ = 97718400.

The previous prime is 223078321. The next prime is 223078363. The reversal of 223078328 is 823870322.

It is a super-3 number, since 3×2230783283 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223078321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 426275 + ... + 426797.

It is an arithmetic number, because the mean of its divisors is an integer number (7392330).

Almost surely, 2223078328 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 223078328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236554560).

223078328 is an abundant number, since it is smaller than the sum of its proper divisors (250030792).

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

223078328 is a wasteful number, since it uses less digits than its factorization.

223078328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 223078328 is about 14935.8069082323. The cubic root of 223078328 is about 606.4836912799.

The spelling of 223078328 in words is "two hundred twenty-three million, seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 131 148 262 296 407 523 524 814 1046 1048 1441 1628 2092 2882 3256 4184 4847 5753 5764 9694 11506 11528 19351 19388 23012 38702 38776 46024 53317 68513 77404 106634 137026 154808 212861 213268 274052 425722 426536 548104 753643 851444 1507286 1702888 2534981 3014572 5069962 6029144 10139924 20279848 27884791 55769582 111539164 223078328