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230104352 = 254323889
BaseRepresentation
bin11011011011100…
…01110100100000
3121000222111211102
431231301310200
5432401314402
634455533532
75462566112
oct1555616440
9530874742
10230104352
11108984895
126508a2a8
133889792a
14227bb3b2
1515304102
hexdb71d20

230104352 has 36 divisors (see below), whose sum is σ = 463917510. Its totient is φ = 112347648.

The previous prime is 230104349. The next prime is 230104363. The reversal of 230104352 is 253401032.

It is a happy number.

230104352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175403536 + 54700816 = 13244^2 + 7396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57224 + ... + 61112.

Almost surely, 2230104352 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 230104352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231958755).

230104352 is an abundant number, since it is smaller than the sum of its proper divisors (233813158).

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

230104352 is an equidigital number, since it uses as much as digits as its factorization.

230104352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 230104352 is about 15169.1908815203. The cubic root of 230104352 is about 612.7852139401.

Adding to 230104352 its reverse (253401032), we get a palindrome (483505384).

The spelling of 230104352 in words is "two hundred thirty million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1849 3698 3889 7396 7778 14792 15556 29584 31112 59168 62224 124448 167227 334454 668908 1337816 2675632 5351264 7190761 14381522 28763044 57526088 115052176 230104352