Search a number
-
+
283223640 = 233571931747
BaseRepresentation
bin10000111000011…
…010011001011000
3201201221020210110
4100320122121120
51040001124030
644034244320
710006234620
oct2070323130
9651836713
10283223640
11135966127
127aa266a0
13468a5a6b
1429887880
1519ce81b0
hex10e1a658

283223640 has 128 divisors (see below), whose sum is σ = 976642560. Its totient is φ = 64364544.

The previous prime is 283223623. The next prime is 283223683. The reversal of 283223640 is 46322382.

283223640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 283223598 and 283223607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161247 + ... + 162993.

It is an arithmetic number, because the mean of its divisors is an integer number (7630020).

Almost surely, 2283223640 is an apocalyptic number.

283223640 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 283223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488321280).

283223640 is an abundant number, since it is smaller than the sum of its proper divisors (693418920).

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

283223640 is a wasteful number, since it uses less digits than its factorization.

283223640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

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

The square root of 283223640 is about 16829.2495376354. The cubic root of 283223640 is about 656.7143405770.

The spelling of 283223640 in words is "two hundred eighty-three million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 193 210 280 386 420 579 772 840 965 1158 1351 1544 1747 1930 2316 2702 2895 3494 3860 4053 4632 5241 5404 5790 6755 6988 7720 8106 8735 10482 10808 11580 12229 13510 13976 16212 17470 20265 20964 23160 24458 26205 27020 32424 34940 36687 40530 41928 48916 52410 54040 61145 69880 73374 81060 97832 104820 122290 146748 162120 183435 209640 244580 293496 337171 366870 489160 674342 733740 1011513 1348684 1467480 1685855 2023026 2360197 2697368 3371710 4046052 4720394 5057565 6743420 7080591 8092104 9440788 10115130 11800985 13486840 14161182 18881576 20230260 23601970 28322364 35402955 40460520 47203940 56644728 70805910 94407880 141611820 283223640