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230500992 = 2731095507
BaseRepresentation
bin11011011110100…
…10101010000000
3121001201122220210
431233102222000
5433002012432
634512234120
75466140361
oct1557225200
9531648823
10230500992
11109125897
126523b940
13389a6327
1422881b68
15153818cc
hexdbd2a80

230500992 has 64 divisors (see below), whose sum is σ = 617997600. Its totient is φ = 76114944.

The previous prime is 230500981. The next prime is 230501039. The reversal of 230500992 is 299005032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39103 + ... + 44609.

Almost surely, 2230500992 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 230500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308998800).

230500992 is an abundant number, since it is smaller than the sum of its proper divisors (387496608).

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

230500992 is a wasteful number, since it uses less digits than its factorization.

230500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 230500992 is about 15182.2591204340. The cubic root of 230500992 is about 613.1371058885.

The spelling of 230500992 in words is "two hundred thirty million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 5232 5507 6976 10464 11014 13952 16521 20928 22028 33042 41856 44056 66084 88112 132168 176224 264336 352448 528672 600263 704896 1057344 1200526 1800789 2114688 2401052 3601578 4802104 7203156 9604208 14406312 19208416 28812624 38416832 57625248 76833664 115250496 230500992