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231302016 = 27321118253
BaseRepresentation
bin11011100100101…
…10001110000000
3121010020100201100
431302112032000
5433203131031
634541334400
75506014621
oct1562261600
9533210640
10231302016
111096226a0
1265567400
1338bc6aca
1422a0da48
151548dde6
hexdc96380

231302016 has 96 divisors (see below), whose sum is σ = 726144120. Its totient is φ = 70087680.

The previous prime is 231301997. The next prime is 231302041. The reversal of 231302016 is 610203132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 231302016.

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, 3546 + ... + 21798.

Almost surely, 2231302016 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 231302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363072060).

231302016 is an abundant number, since it is smaller than the sum of its proper divisors (494842104).

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

231302016 is a wasteful number, since it uses less digits than its factorization.

231302016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231302016 is about 15208.6165051263. The cubic root of 231302016 is about 613.8465311918.

Adding to 231302016 its reverse (610203132), we get a palindrome (841505148).

The spelling of 231302016 in words is "two hundred thirty-one million, three hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 18253 36506 54759 73012 109518 146024 164277 200783 219036 292048 328554 401566 438072 584096 602349 657108 803132 876144 1168192 1204698 1314216 1606264 1752288 1807047 2336384 2409396 2628432 3212528 3504576 3614094 4818792 5256864 6425056 7009152 7228188 9637584 10513728 12850112 14456376 19275168 21027456 25700224 28912752 38550336 57825504 77100672 115651008 231302016