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231324132 = 223134159613
BaseRepresentation
bin11011100100110…
…11100111100100
3121010021111001110
431302123213210
5433204333012
634542025020
75506136244
oct1562334744
9533244043
10231324132
11109638276
1265578170
1338c03bb0
1422a17b24
151549573c
hexdc9b9e4

231324132 has 96 divisors (see below), whose sum is σ = 606533760. Its totient is φ = 68152320.

The previous prime is 231324113. The next prime is 231324227. The reversal of 231324132 is 231423132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231324099 and 231324108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377058 + ... + 377670.

It is an arithmetic number, because the mean of its divisors is an integer number (6318060).

Almost surely, 2231324132 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 231324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303266880).

231324132 is an abundant number, since it is smaller than the sum of its proper divisors (375209628).

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

231324132 is a wasteful number, since it uses less digits than its factorization.

231324132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 731 counting only the distinct ones).

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

The square root of 231324132 is about 15209.3435755788. The cubic root of 231324132 is about 613.8660949314.

Adding to 231324132 its reverse (231423132), we get a palindrome (462747264).

The spelling of 231324132 in words is "two hundred thirty-one million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 59 78 82 118 123 156 164 177 236 246 354 492 533 613 708 767 1066 1226 1534 1599 1839 2132 2301 2419 2452 3068 3198 3678 4602 4838 6396 7257 7356 7969 9204 9676 14514 15938 23907 25133 29028 31447 31876 36167 47814 50266 62894 72334 75399 94341 95628 100532 108501 125788 144668 150798 188682 217002 301596 326729 377364 434004 470171 653458 940342 980187 1306916 1410513 1482847 1880684 1960374 2821026 2965694 3920748 4448541 5642052 5931388 8897082 17794164 19277011 38554022 57831033 77108044 115662066 231324132