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231226320 = 243513372003
BaseRepresentation
bin11011100100000…
…11101111010000
3121010002111212210
431302003233100
5433143220240
634535552120
75505251133
oct1562035720
9533074783
10231226320
11109580836
126552b640
1338b9b510
14229d021a
1515476780
hexdc83bd0

231226320 has 160 divisors (see below), whose sum is σ = 793199232. Its totient is φ = 55351296.

The previous prime is 231226279. The next prime is 231226327. The reversal of 231226320 is 23622132.

231226320 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-2 number, since 2×2312263202 = 106931222121484800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231226327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114439 + ... + 116441.

Almost surely, 2231226320 is an apocalyptic number.

231226320 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 231226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396599616).

231226320 is an abundant number, since it is smaller than the sum of its proper divisors (561972912).

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

231226320 is a wasteful number, since it uses less digits than its factorization.

231226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 231226320 is about 15206.1277122087. The cubic root of 231226320 is about 613.7795613234.

Adding to 231226320 its reverse (23622132), we get a palindrome (254848452).

The spelling of 231226320 in words is "two hundred thirty-one million, two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 624 740 780 888 962 1040 1110 1443 1480 1560 1776 1924 2003 2220 2405 2886 2960 3120 3848 4006 4440 4810 5772 6009 7215 7696 8012 8880 9620 10015 11544 12018 14430 16024 19240 20030 23088 24036 26039 28860 30045 32048 38480 40060 48072 52078 57720 60090 74111 78117 80120 96144 104156 115440 120180 130195 148222 156234 160240 208312 222333 240360 260390 296444 312468 370555 390585 416624 444666 480720 520780 592888 624936 741110 781170 889332 963443 1041560 1111665 1185776 1249872 1482220 1562340 1778664 1926886 2083120 2223330 2890329 2964440 3124680 3557328 3853772 4446660 4817215 5780658 5928880 6249360 7707544 8893320 9634430 11561316 14451645 15415088 17786640 19268860 23122632 28903290 38537720 46245264 57806580 77075440 115613160 231226320