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231132330 = 2325111317959
BaseRepresentation
bin11011100011011…
…00110010101010
3121002220201221200
431301230302222
5433132213310
634533545030
75504410122
oct1561546252
9532821850
10231132330
11109517160
12654a5176
1338b677c0
14229a7c82
15154589c0
hexdc6ccaa

231132330 has 96 divisors (see below), whose sum is σ = 706043520. Its totient is φ = 51719040.

The previous prime is 231132299. The next prime is 231132337. The reversal of 231132330 is 33231132.

231132330 is a `hidden beast` number, since 2 + 311 + 323 + 30 = 666.

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 (231132337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3891 + ... + 21849.

It is an arithmetic number, because the mean of its divisors is an integer number (7354620).

Almost surely, 2231132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353021760).

231132330 is an abundant number, since it is smaller than the sum of its proper divisors (474911190).

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

231132330 is a wasteful number, since it uses less digits than its factorization.

231132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17996 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 231132330 is about 15203.0368676788. The cubic root of 231132330 is about 613.6963860180.

Adding to 231132330 its reverse (33231132), we get a palindrome (264363462).

The spelling of 231132330 in words is "two hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 12870 17959 35918 53877 89795 107754 161631 179590 197549 233467 269385 323262 395098 466934 538770 592647 700401 808155 987745 1167335 1185294 1400802 1616310 1777941 1975490 2101203 2334670 2568137 2963235 3502005 3555882 4202406 5136274 5926470 7004010 7704411 8889705 10506015 12840685 15408822 17779410 21012030 23113233 25681370 38522055 46226466 77044110 115566165 231132330