Search a number
-
+
230345775 = 375211383
BaseRepresentation
bin11011011101011…
…00110000101111
3121001102210000000
431232230300233
5432432031100
634505035343
75464623012
oct1556546057
9531383000
10230345775
1110902a210
1265185b53
133895079a
1422841379
1515350900
hexdbacc2f

230345775 has 96 divisors (see below), whose sum is σ = 468541440. Its totient is φ = 111391200.

The previous prime is 230345771. The next prime is 230345807. The reversal of 230345775 is 577543032.

It is not a de Polignac number, because 230345775 - 22 = 230345771 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230345771) 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 95 ways as a sum of consecutive naturals, for example, 601234 + ... + 601616.

It is an arithmetic number, because the mean of its divisors is an integer number (4880640).

Almost surely, 2230345775 is an apocalyptic number.

230345775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230345775 is an abundant number, since it is smaller than the sum of its proper divisors (238195665).

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

230345775 is an equidigital number, since it uses as much as digits as its factorization.

230345775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 230345775 is about 15177.1464709279. The cubic root of 230345775 is about 612.9994482421. Note that the first 3 decimals are identical.

The spelling of 230345775 in words is "two hundred thirty million, three hundred forty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 383 405 495 675 729 825 891 1149 1215 1485 1915 2025 2187 2475 2673 3447 3645 4213 4455 5745 6075 7425 8019 9575 10341 10935 12639 13365 17235 18225 21065 22275 24057 28725 31023 37917 40095 51705 54675 63195 66825 86175 93069 105325 113751 120285 155115 189585 200475 258525 279207 315975 341253 465345 568755 601425 775575 837621 947925 1023759 1396035 1706265 2326725 2843775 3071277 4188105 5118795 6980175 8531325 9213831 15356385 20940525 25593975 46069155 76781925 230345775