Search a number
-
+
230461616 = 24711283661
BaseRepresentation
bin11011011110010…
…01000010110000
3121001122122220102
431233021002300
5432444232431
634511331532
75465614520
oct1557110260
9531578812
10230461616
111090a9250
1265220ba8
1338991428
1422871680
1515374dcb
hexdbc90b0

230461616 has 80 divisors (see below), whose sum is σ = 559511808. Its totient is φ = 89337600.

The previous prime is 230461613. The next prime is 230461631. The reversal of 230461616 is 616164032.

It is a happy number.

It is a super-2 number, since 2×2304616162 = 106225112898662912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230461613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348326 + ... + 348986.

Almost surely, 2230461616 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 230461616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279755904).

230461616 is an abundant number, since it is smaller than the sum of its proper divisors (329050192).

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

230461616 is a wasteful number, since it uses less digits than its factorization.

230461616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 230461616 is about 15180.9622883400. The cubic root of 230461616 is about 613.1021902592.

The spelling of 230461616 in words is "two hundred thirty million, four hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 283 308 566 616 661 1132 1232 1322 1981 2264 2644 3113 3962 4528 4627 5288 6226 7271 7924 9254 10576 12452 14542 15848 18508 21791 24904 29084 31696 37016 43582 49808 50897 58168 74032 87164 101794 116336 174328 187063 203588 348656 374126 407176 748252 814352 1309441 1496504 2057693 2618882 2993008 4115386 5237764 8230772 10475528 14403851 16461544 20951056 28807702 32923088 57615404 115230808 230461616