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230402484 = 2232133111583
BaseRepresentation
bin11011011101110…
…10100110110100
3121001112122210100
431232322212310
5432440334414
634510154100
75465250234
oct1556724664
9531478710
10230402484
11109068884
12651b2930
1338970540
1422857cc4
1515362609
hexdbba9b4

230402484 has 72 divisors (see below), whose sum is σ = 629620992. Its totient is φ = 70620480.

The previous prime is 230402483. The next prime is 230402521. The reversal of 230402484 is 484204032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230402483) 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 23 ways as a sum of consecutive naturals, for example, 144757 + ... + 146339.

It is an arithmetic number, because the mean of its divisors is an integer number (8744736).

Almost surely, 2230402484 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 230402484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314810496).

230402484 is an abundant number, since it is smaller than the sum of its proper divisors (399218508).

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

230402484 is a wasteful number, since it uses less digits than its factorization.

230402484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 230402484 is about 15179.0145925221. The cubic root of 230402484 is about 613.0497490465.

The spelling of 230402484 in words is "two hundred thirty million, four hundred two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 311 468 622 933 1244 1583 1866 2799 3166 3732 4043 4749 5598 6332 8086 9498 11196 12129 14247 16172 18996 20579 24258 28494 36387 41158 48516 56988 61737 72774 82316 123474 145548 185211 246948 370422 492313 740844 984626 1476939 1969252 2953878 4430817 5907756 6400069 8861634 12800138 17723268 19200207 25600276 38400414 57600621 76800828 115201242 230402484