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231310032 = 243291071553
BaseRepresentation
bin11011100100110…
…00001011010000
3121010020202201020
431302120023100
5433203410112
634541435440
75506050162
oct1562301320
9533222636
10231310032
11109628718
126556bb80
1338bca655
1422a12932
151549148c
hexdc982d0

231310032 has 80 divisors (see below), whose sum is σ = 624335040. Its totient is φ = 73701376.

The previous prime is 231310019. The next prime is 231310091. The reversal of 231310032 is 230013132.

It is a junction number, because it is equal to n+sod(n) for n = 231309993 and 231310020.

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, 148168 + ... + 149720.

It is an arithmetic number, because the mean of its divisors is an integer number (7804188).

Almost surely, 2231310032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312167520).

231310032 is an abundant number, since it is smaller than the sum of its proper divisors (393025008).

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

231310032 is a wasteful number, since it uses less digits than its factorization.

231310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 231310032 is about 15208.8800376622. The cubic root of 231310032 is about 613.8536222627.

Adding to 231310032 its reverse (230013132), we get a palindrome (461323164).

It can be divided in two parts, 2313100 and 32, that added together give a palindrome (2313132).

The spelling of 231310032 in words is "two hundred thirty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1553 1712 2568 3103 3106 4659 5136 6206 6212 9309 9318 12412 12424 18618 18636 24824 24848 37236 37272 45037 49648 74472 74544 90074 135111 148944 166171 180148 270222 332342 360296 498513 540444 664684 720592 997026 1080888 1329368 1994052 2161776 2658736 3988104 4818959 7976208 9637918 14456877 19275836 28913754 38551672 57827508 77103344 115655016 231310032