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230275152 = 243271101223
BaseRepresentation
bin11011011100110…
…11100001010000
3121001022012010100
431232123201100
5432422301102
634503332400
75464210062
oct1556334120
9531265110
10230275152
11108a91148
1265151100
13389275b3
1422823732
1515339a1c
hexdb9b850

230275152 has 120 divisors (see below), whose sum is σ = 662957568. Its totient is φ = 74592000.

The previous prime is 230275127. The next prime is 230275159. The reversal of 230275152 is 251572032.

230275152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230275159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032513 + ... + 1032735.

Almost surely, 2230275152 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 230275152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331478784).

230275152 is an abundant number, since it is smaller than the sum of its proper divisors (432682416).

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

230275152 is a wasteful number, since it uses less digits than its factorization.

230275152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 230275152 is about 15174.8196694392. The cubic root of 230275152 is about 612.9367941949.

The spelling of 230275152 in words is "two hundred thirty million, two hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 101 142 144 202 213 223 284 303 404 426 446 568 606 639 669 808 852 892 909 1136 1212 1278 1338 1616 1704 1784 1818 2007 2424 2556 2676 3408 3568 3636 4014 4848 5112 5352 7171 7272 8028 10224 10704 14342 14544 15833 16056 21513 22523 28684 31666 32112 43026 45046 47499 57368 63332 64539 67569 86052 90092 94998 114736 126664 129078 135138 142497 172104 180184 189996 202707 253328 258156 270276 284994 344208 360368 379992 405414 516312 540552 569988 759984 810828 1032624 1081104 1139976 1599133 1621656 2279952 3198266 3243312 4797399 6396532 9594798 12793064 14392197 19189596 25586128 28784394 38379192 57568788 76758384 115137576 230275152