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231335320 = 235172911731
BaseRepresentation
bin11011100100111…
…10010110011000
3121010022001101211
431302132112120
5433210212240
634542152504
75506213666
oct1562362630
9533261354
10231335320
11109645717
1265582734
1338c09008
1422a1bc36
1515498bea
hexdc9e598

231335320 has 64 divisors (see below), whose sum is σ = 570175200. Its totient is φ = 84080640.

The previous prime is 231335309. The next prime is 231335339. The reversal of 231335320 is 23533132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 231335291 and 231335300.

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, 13855 + ... + 25585.

Almost surely, 2231335320 is an apocalyptic number.

231335320 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 231335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285087600).

231335320 is an abundant number, since it is smaller than the sum of its proper divisors (338839880).

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

231335320 is a wasteful number, since it uses less digits than its factorization.

231335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11788 (or 11784 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 231335320 is about 15209.7113713574. The cubic root of 231335320 is about 613.8759913238.

Adding to 231335320 its reverse (23533132), we get a palindrome (254868452).

The spelling of 231335320 in words is "two hundred thirty-one million, three hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 11731 19720 23462 46924 58655 93848 117310 199427 234620 340199 398854 469240 680398 797708 997135 1360796 1595416 1700995 1994270 2721592 3401990 3988540 5783383 6803980 7977080 11566766 13607960 23133532 28916915 46267064 57833830 115667660 231335320