Search a number
-
+
223551152 = 241143109271
BaseRepresentation
bin11010101001100…
…01111010110000
3120120122120112022
431110301322300
5424212114102
634103251012
75353103426
oct1524617260
9516576468
10223551152
11105209320
1262a49a68
1337411bb6
1421993116
151495c5a2
hexd531eb0

223551152 has 80 divisors (see below), whose sum is σ = 489730560. Its totient is φ = 97977600.

The previous prime is 223551143. The next prime is 223551157. The reversal of 223551152 is 251155322.

223551152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223551157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824777 + ... + 825047.

It is an arithmetic number, because the mean of its divisors is an integer number (6121632).

Almost surely, 2223551152 is an apocalyptic number.

223551152 is a gapful number since it is divisible by the number (22) 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 223551152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244865280).

223551152 is an abundant number, since it is smaller than the sum of its proper divisors (266179408).

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

223551152 is a wasteful number, since it uses less digits than its factorization.

223551152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 3000, while the sum is 26.

The square root of 223551152 is about 14951.6270686504. The cubic root of 223551152 is about 606.9118782245.

The spelling of 223551152 in words is "two hundred twenty-three million, five hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 109 172 176 218 271 344 436 473 542 688 872 946 1084 1199 1744 1892 2168 2398 2981 3784 4336 4687 4796 5962 7568 9374 9592 11653 11924 18748 19184 23306 23848 29539 37496 46612 47696 51557 59078 74992 93224 103114 118156 128183 186448 206228 236312 256366 324929 412456 472624 512732 649858 824912 1025464 1270177 1299716 2050928 2540354 2599432 5080708 5198864 10161416 13971947 20322832 27943894 55887788 111775576 223551152