Search a number
-
+
230655546 = 233112316883
BaseRepresentation
bin11011011111110…
…00011000111010
3121002000111221000
431233320120322
5433021434141
634515425430
75500353102
oct1557703072
9532014830
10230655546
11109220a20
12652b5276
1338a2b794
14228c2202
15153b25b6
hexdbf863a

230655546 has 64 divisors (see below), whose sum is σ = 583511040. Its totient is φ = 66852720.

The previous prime is 230655539. The next prime is 230655553. The reversal of 230655546 is 645556032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230655539) and next prime (230655553).

It is a self number, because there is not a number n which added to its sum of digits gives 230655546.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5221 + ... + 22103.

It is an arithmetic number, because the mean of its divisors is an integer number (9117360).

Almost surely, 2230655546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230655546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291755520).

230655546 is an abundant number, since it is smaller than the sum of its proper divisors (352855494).

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

230655546 is a wasteful number, since it uses less digits than its factorization.

230655546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16922 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 230655546 is about 15187.3482214638. The cubic root of 230655546 is about 613.2741141495.

The spelling of 230655546 in words is "two hundred thirty million, six hundred fifty-five thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 16883 33766 50649 101298 151947 185713 303894 371426 388309 455841 557139 776618 911682 1114278 1164927 1671417 2329854 3342834 3494781 4271399 5014251 6989562 8542798 10028502 10484343 12814197 20968686 25628394 38442591 76885182 115327773 230655546