Search a number
-
+
903231216 = 243317294241
BaseRepresentation
bin110101110101100…
…011011011110000
32022221120220022000
4311311203123300
53322211344331
6225343214000
731245224106
oct6565433360
92287526260
10903231216
11423939a88
122125a7300
13115188354
1487d5bc76
15544690e6
hex35d636f0

903231216 has 160 divisors (see below), whose sum is σ = 2840443200. Its totient is φ = 273530880.

The previous prime is 903231193. The next prime is 903231223. The reversal of 903231216 is 612132309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 903231216.

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, 210856 + ... + 215096.

It is an arithmetic number, because the mean of its divisors is an integer number (17752770).

Almost surely, 2903231216 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 903231216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420221600).

903231216 is an abundant number, since it is smaller than the sum of its proper divisors (1937211984).

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

903231216 is a wasteful number, since it uses less digits than its factorization.

903231216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 903231216 is about 30053.8053497390. The cubic root of 903231216 is about 966.6434507834.

The spelling of 903231216 in words is "nine hundred three million, two hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 29 34 36 48 51 54 58 68 72 87 102 108 116 136 144 153 174 204 216 232 261 272 306 348 408 432 459 464 493 522 612 696 783 816 918 986 1044 1224 1392 1479 1566 1836 1972 2088 2448 2958 3132 3672 3944 4176 4241 4437 5916 6264 7344 7888 8482 8874 11832 12528 12723 13311 16964 17748 23664 25446 26622 33928 35496 38169 50892 53244 67856 70992 72097 76338 101784 106488 114507 122989 144194 152676 203568 212976 216291 229014 245978 288388 305352 368967 432582 458028 491956 576776 610704 648873 737934 865164 916056 983912 1106901 1153552 1297746 1475868 1730328 1832112 1946619 1967824 2090813 2213802 2595492 2951736 3320703 3460656 3893238 4181626 4427604 5190984 5903472 6272439 6641406 7786476 8363252 8855208 10381968 12544878 13282812 15572952 16726504 17710416 18817317 25089756 26565624 31145904 33453008 37634634 50179512 53131248 56451951 75269268 100359024 112903902 150538536 225807804 301077072 451615608 903231216