Search a number
-
+
223428360 = 233561131233
BaseRepresentation
bin11010101000100…
…11111100001000
3120120102100002110
431110103330020
5424144201420
634100502320
75352052431
oct1524237410
9516370073
10223428360
11105135041
12629aa9a0
133739b03c
1421960488
1514935ee0
hexd513f08

223428360 has 128 divisors (see below), whose sum is σ = 689420160. Its totient is φ = 57907200.

The previous prime is 223428349. The next prime is 223428367. The reversal of 223428360 is 63824322.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (223428367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958804 + ... + 959036.

It is an arithmetic number, because the mean of its divisors is an integer number (5386095).

Almost surely, 2223428360 is an apocalyptic number.

223428360 is a gapful number since it is divisible by the number (20) 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 223428360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

223428360 is an abundant number, since it is smaller than the sum of its proper divisors (465991800).

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

223428360 is a wasteful number, since it uses less digits than its factorization.

223428360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 223428360 is about 14947.5201956713. The cubic root of 223428360 is about 606.8007365139.

The spelling of 223428360 in words is "two hundred twenty-three million, four hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 131 183 233 244 262 305 366 393 466 488 524 610 655 699 732 786 915 932 1048 1165 1220 1310 1398 1464 1572 1830 1864 1965 2330 2440 2620 2796 3144 3495 3660 3930 4660 5240 5592 6990 7320 7860 7991 9320 13980 14213 15720 15982 23973 27960 28426 30523 31964 39955 42639 47946 56852 61046 63928 71065 79910 85278 91569 95892 113704 119865 122092 142130 152615 159820 170556 183138 191784 213195 239730 244184 284260 305230 319640 341112 366276 426390 457845 479460 568520 610460 732552 852780 915690 958920 1220920 1705560 1831380 1861903 3662760 3723806 5585709 7447612 9309515 11171418 14895224 18619030 22342836 27928545 37238060 44685672 55857090 74476120 111714180 223428360