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230035968 = 293249921
BaseRepresentation
bin11011011011000…
…01001000000000
3121000212001000200
431231201020000
5432342122333
634454245200
75462162541
oct1555411000
9530761020
10230035968
11108938478
1265056800
1338872776
14227a04c8
15152ddc13
hexdb61200

230035968 has 60 divisors (see below), whose sum is σ = 663912678. Its totient is φ = 76677120.

The previous prime is 230035961. The next prime is 230035969. The reversal of 230035968 is 869530032.

It can be written as a sum of positive squares in only one way, i.e., 154554624 + 75481344 = 12432^2 + 8688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230035961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20353 + ... + 29568.

Almost surely, 2230035968 is an apocalyptic number.

It is an amenable number.

230035968 is an abundant number, since it is smaller than the sum of its proper divisors (433876710).

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

230035968 is an equidigital number, since it uses as much as digits as its factorization.

230035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49945 (or 49926 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230035968 is about 15166.9366715893. The cubic root of 230035968 is about 612.7245040121.

The spelling of 230035968 in words is "two hundred thirty million, thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 49921 99842 149763 199684 299526 399368 449289 599052 798736 898578 1198104 1597472 1797156 2396208 3194944 3594312 4792416 6389888 7188624 9584832 12779776 14377248 19169664 25559552 28754496 38339328 57508992 76678656 115017984 230035968