Search a number
-
+
231652480 = 2752831279
BaseRepresentation
bin11011100111010…
…11110010000000
3121010220011110111
431303223302000
5433300334410
634553041104
75512004443
oct1563536200
9533804414
10231652480
11109841a34
12656b6194
1338cba497
1422aa165a
151550cb8a
hexdcebc80

231652480 has 64 divisors (see below), whose sum is σ = 556185600. Its totient is φ = 92261376.

The previous prime is 231652457. The next prime is 231652511. The reversal of 231652480 is 84256132.

231652480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180481 + ... + 181759.

It is an arithmetic number, because the mean of its divisors is an integer number (8690400).

Almost surely, 2231652480 is an apocalyptic number.

231652480 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 231652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278092800).

231652480 is an abundant number, since it is smaller than the sum of its proper divisors (324533120).

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

231652480 is a wasteful number, since it uses less digits than its factorization.

231652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 231652480 is about 15220.1340335754. The cubic root of 231652480 is about 614.1564039025.

The spelling of 231652480 in words is "two hundred thirty-one million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 283 320 566 640 1132 1279 1415 2264 2558 2830 4528 5116 5660 6395 9056 10232 11320 12790 18112 20464 22640 25580 36224 40928 45280 51160 81856 90560 102320 163712 181120 204640 361957 409280 723914 818560 1447828 1809785 2895656 3619570 5791312 7239140 11582624 14478280 23165248 28956560 46330496 57913120 115826240 231652480