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230235552 = 25321674787
BaseRepresentation
bin11011011100100…
…01110110100000
3121001020011210200
431232101312200
5432420014202
634502425200
75463653451
oct1556216640
9531204720
10230235552
11108a64418
1265132200
1338912571
1422813128
151532ce1c
hexdb91da0

230235552 has 72 divisors (see below), whose sum is σ = 658790496. Its totient is φ = 76269696.

The previous prime is 230235529. The next prime is 230235619. The reversal of 230235552 is 255532032.

230235552 is a `hidden beast` number, since 2 + 302 + 355 + 5 + 2 = 666.

230235552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45703 + ... + 50489.

It is an arithmetic number, because the mean of its divisors is an integer number (9149868).

Almost surely, 2230235552 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 230235552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

230235552 is an abundant number, since it is smaller than the sum of its proper divisors (428554944).

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

230235552 is a wasteful number, since it uses less digits than its factorization.

230235552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 230235552 is about 15173.5148202386. The cubic root of 230235552 is about 612.9016569713.

Adding to 230235552 its reverse (255532032), we get a palindrome (485767584).

The spelling of 230235552 in words is "two hundred thirty million, two hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 4787 5344 6012 8016 9574 12024 14361 16032 19148 24048 28722 38296 43083 48096 57444 76592 86166 114888 153184 172332 229776 344664 459552 689328 799429 1378656 1598858 2398287 3197716 4796574 6395432 7194861 9593148 12790864 14389722 19186296 25581728 28779444 38372592 57558888 76745184 115117776 230235552