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230012748 = 223271277187
BaseRepresentation
bin11011011010110…
…11011101001100
3121000210212011200
431231123131030
5432340401443
634453545500
75462035050
oct1555333514
9530725150
10230012748
11108921a89
1265045290
1338865024
1422795c60
15152d6dd3
hexdb5b74c

230012748 has 72 divisors (see below), whose sum is σ = 669806592. Its totient is φ = 65191392.

The previous prime is 230012711. The next prime is 230012749. The reversal of 230012748 is 847210032.

It is not an unprimeable number, because it can be changed into a prime (230012749) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28411 + ... + 35597.

Almost surely, 2230012748 is an apocalyptic number.

230012748 is a gapful number since it is divisible by the number (28) 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 230012748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334903296).

230012748 is an abundant number, since it is smaller than the sum of its proper divisors (439793844).

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

230012748 is a wasteful number, since it uses less digits than its factorization.

230012748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7331 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 230012748 is about 15166.1711713933. The cubic root of 230012748 is about 612.7038870309.

The spelling of 230012748 in words is "two hundred thirty million, twelve thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 7187 8001 10668 14374 16002 21561 28748 32004 43122 50309 64683 86244 100618 129366 150927 201236 258732 301854 452781 603708 905562 912749 1811124 1825498 2738247 3650996 5476494 6389243 8214741 10952988 12778486 16429482 19167729 25556972 32858964 38335458 57503187 76670916 115006374 230012748