Search a number
-
+
323204222432 = 25713937118453
BaseRepresentation
bin1001011010000000111…
…10010000110111100000
31010220020122202122211202
410231000132100313200
520243410240104212
6404251124100332
732231205363530
oct4550036206740
91126218678752
10323204222432
111150853a3033
12527805346a8
132462a2c2c40
1411900bd14c0
1586198ae0c2
hex4b40790de0

323204222432 has 96 divisors (see below), whose sum is σ = 783991115712. Its totient is φ = 127723474944.

The previous prime is 323204222417. The next prime is 323204222449. The reversal of 323204222432 is 234222402323.

It is a junction number, because it is equal to n+sod(n) for n = 323204222395 and 323204222404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2669318 + ... + 2787770.

It is an arithmetic number, because the mean of its divisors is an integer number (8166574122).

Almost surely, 2323204222432 is an apocalyptic number.

323204222432 is a gapful number since it is divisible by the number (32) 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 323204222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391995557856).

323204222432 is an abundant number, since it is smaller than the sum of its proper divisors (460786893280).

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

323204222432 is a wasteful number, since it uses less digits than its factorization.

323204222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119420 (or 119412 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 323204222432 its reverse (234222402323), we get a palindrome (557426624755).

The spelling of 323204222432 in words is "three hundred twenty-three billion, two hundred four million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 937 1456 1874 2912 3748 6559 7496 12181 13118 14992 24362 26236 29984 48724 52472 85267 97448 104944 118453 170534 194896 209888 236906 341068 389792 473812 682136 829171 947624 1364272 1539889 1658342 1895248 2728544 3079778 3316684 3790496 6159556 6633368 10779223 12319112 13266736 21558446 24638224 26533472 43116892 49276448 86233784 110990461 172467568 221980922 344935136 443961844 776933227 887923688 1442875993 1553866454 1775847376 2885751986 3107732908 3551694752 5771503972 6215465816 10100131951 11543007944 12430931632 20200263902 23086015888 24861863264 40400527804 46172031776 80801055608 161602111216 323204222432