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231010232220 = 2232523136740819
BaseRepresentation
bin1101011100100101001…
…0000110011110011100
3211002021111111200221200
43113021102012132130
512241102104412340
6254042530555500
722455435401205
oct3271122063634
9732244450850
10231010232220
1189a75287699
1238930a38b90
1318a26a94901
14b27677c5ac
156020b01330
hex35c948679c

231010232220 has 144 divisors (see below), whose sum is σ = 731750423040. Its totient is φ = 58879801728.

The previous prime is 231010232209. The next prime is 231010232239. The reversal of 231010232220 is 22232010132.

231010232220 is a `hidden beast` number, since 2 + 310 + 10 + 2 + 322 + 20 = 666.

231010232220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2310102322203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 231010232193 and 231010232202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5638971 + ... + 5679789.

It is an arithmetic number, because the mean of its divisors is an integer number (5081600160).

Almost surely, 2231010232220 is an apocalyptic number.

231010232220 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 231010232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365875211520).

231010232220 is an abundant number, since it is smaller than the sum of its proper divisors (500740190820).

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

231010232220 is a wasteful number, since it uses less digits than its factorization.

231010232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42224 (or 42219 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231010232220 its reverse (22232010132), we get a palindrome (253242242352).

The spelling of 231010232220 in words is "two hundred thirty-one billion, ten million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1367 1380 2070 2734 4101 4140 5468 6835 8202 12303 13670 16404 20505 24606 27340 31441 40819 41010 49212 61515 62882 81638 82020 94323 122457 123030 125764 157205 163276 188646 204095 244914 246060 282969 314410 367371 377292 408190 471615 489828 565938 612285 628820 734742 816380 938837 943230 1131876 1224570 1414845 1469484 1836855 1877674 1886460 2449140 2816511 2829690 3673710 3755348 4694185 5633022 5659380 7347420 8449533 9388370 11266044 14082555 16899066 18776740 28165110 33798132 42247665 55799573 56330220 84495330 111599146 167398719 168990660 223198292 278997865 334797438 502196157 557995730 669594876 836993595 1004392314 1115991460 1283390179 1673987190 2008784628 2510980785 2566780358 3347974380 3850170537 5021961570 5133560716 6416950895 7700341074 10043923140 11550511611 12833901790 15400682148 19250852685 23101023222 25667803580 38501705370 46202046444 57752558055 77003410740 115505116110 231010232220