Search a number
-
+
223552896 = 273721092
BaseRepresentation
bin11010101001100…
…10010110000000
3120120122122220220
431110302112000
5424212143041
634103303040
75353111500
oct1524622600
9516578826
10223552896
1110520a666
1262a4aa80
1337412928
1421993a00
151495cd66
hexd532580

223552896 has 144 divisors (see below), whose sum is σ = 697156740. Its totient is φ = 63286272.

The previous prime is 223552891. The next prime is 223552913. The reversal of 223552896 is 698255322.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223552891) 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 17 ways as a sum of consecutive naturals, for example, 2050890 + ... + 2050998.

Almost surely, 2223552896 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 223552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348578370).

223552896 is an abundant number, since it is smaller than the sum of its proper divisors (473603844).

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

223552896 is an equidigital number, since it uses as much as digits as its factorization.

223552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 121 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 223552896 is about 14951.6853899485. The cubic root of 223552896 is about 606.9134564637.

The spelling of 223552896 in words is "two hundred twenty-three million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 109 112 128 147 168 192 196 218 224 294 327 336 384 392 436 448 588 654 672 763 784 872 896 1176 1308 1344 1526 1568 1744 2289 2352 2616 2688 3052 3136 3488 4578 4704 5232 5341 6104 6272 6976 9156 9408 10464 10682 11881 12208 13952 16023 18312 18816 20928 21364 23762 24416 32046 35643 36624 41856 42728 47524 48832 64092 71286 73248 83167 85456 95048 97664 128184 142572 146496 166334 170912 190096 249501 256368 285144 292992 332668 341824 380192 499002 512736 570288 582169 665336 683648 760384 998004 1025472 1140576 1164338 1330672 1520768 1746507 1996008 2050944 2281152 2328676 2661344 3493014 3992016 4562304 4657352 5322688 6986028 7984032 9314704 10645376 13972056 15968064 18629408 27944112 31936128 37258816 55888224 74517632 111776448 223552896