Search a number
-
+
230296752 = 24327228469
BaseRepresentation
bin11011011101000…
…00110010110000
3121001100021202100
431232200302300
5432423444002
634504020400
75464330050
oct1556406260
9531307670
10230296752
11108aa63a4
1265161700
133893438a
142282b560
151534111c
hexdba0cb0

230296752 has 60 divisors (see below), whose sum is σ = 736587280. Its totient is φ = 65798784.

The previous prime is 230296747. The next prime is 230296753. The reversal of 230296752 is 257692032.

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 (230296753) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113227 + ... + 115242.

Almost surely, 2230296752 is an apocalyptic number.

It is an amenable number.

230296752 is an abundant number, since it is smaller than the sum of its proper divisors (506290528).

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

230296752 is a wasteful number, since it uses less digits than its factorization.

230296752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228490 (or 228481 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 230296752 is about 15175.5313580777. The cubic root of 230296752 is about 612.9559582554.

The spelling of 230296752 in words is "two hundred thirty million, two hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 228469 456938 685407 913876 1370814 1599283 1827752 2056221 2741628 3198566 3655504 4112442 4797849 5483256 6397132 8224884 9595698 10966512 12794264 14393547 16449768 19191396 25588528 28787094 32899536 38382792 57574188 76765584 115148376 230296752