Search a number
-
+
322230060 = 223256129347
BaseRepresentation
bin10011001101001…
…101011100101100
3211110022222112200
4103031031130230
51124442330220
651550301500
710661624145
oct2315153454
9743288480
10322230060
11155988239
128bab7890
13519b2299
1430b1cacc
151d450890
hex1334d72c

322230060 has 72 divisors (see below), whose sum is σ = 993488496. Its totient is φ = 84516480.

The previous prime is 322230047. The next prime is 322230061. The reversal of 322230060 is 60032223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (322230061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3694 + ... + 25653.

Almost surely, 2322230060 is an apocalyptic number.

322230060 is a gapful number since it is divisible by the number (30) 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 322230060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496744248).

322230060 is an abundant number, since it is smaller than the sum of its proper divisors (671258436).

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

322230060 is a wasteful number, since it uses less digits than its factorization.

322230060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29423 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 322230060 is about 17950.7676716067. The cubic root of 322230060 is about 685.5755973236.

Adding to 322230060 its reverse (60032223), we get a palindrome (382262283).

The spelling of 322230060 in words is "three hundred twenty-two million, two hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 29347 58694 88041 117388 146735 176082 264123 293470 352164 440205 528246 586940 880410 1056492 1320615 1760820 1790167 2641230 3580334 5282460 5370501 7160668 8950835 10741002 16111503 17901670 21482004 26852505 32223006 35803340 53705010 64446012 80557515 107410020 161115030 322230060