Search a number
-
+
243515232 = 25327111909
BaseRepresentation
bin11101000001110…
…11111101100000
3121222012212002200
432200323331200
5444314441412
640055213200
76014562642
oct1640737540
9558185080
10243515232
11115504664
1269677200
133b5b1b6c
14244ac892
15165a29dc
hexe83bf60

243515232 has 72 divisors (see below), whose sum is σ = 702308880. Its totient is φ = 80021760.

The previous prime is 243515227. The next prime is 243515249. The reversal of 243515232 is 232515342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 243515196 and 243515205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14494 + ... + 26402.

It is an arithmetic number, because the mean of its divisors is an integer number (9754290).

Almost surely, 2243515232 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 243515232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351154440).

243515232 is an abundant number, since it is smaller than the sum of its proper divisors (458793648).

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

243515232 is a wasteful number, since it uses less digits than its factorization.

243515232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11985 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 243515232 is about 15604.9745914564. The cubic root of 243515232 is about 624.4658749734.

The spelling of 243515232 in words is "two hundred forty-three million, five hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 11909 20448 23818 35727 47636 71454 95272 107181 142908 190544 214362 285816 381088 428724 571632 845539 857448 1143264 1691078 1714896 2536617 3382156 3429792 5073234 6764312 7609851 10146468 13528624 15219702 20292936 27057248 30439404 40585872 60878808 81171744 121757616 243515232