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230983088449 = 17416632
BaseRepresentation
bin1101011100011110101…
…0100011100101000001
3211002012121102122200211
43113013222203211001
512241023132312244
6254040121114121
722454655566641
oct3270752434501
9732177378624
10230983088449
1189a60a28123
1238923928941
1318a2127c9c9
14b272d14521
15601d53d934
hex35c7aa3941

230983088449 has 15 divisors (see below), whose sum is σ = 245567023653. Its totient is φ = 217265122848.

The previous prime is 230983088429. The next prime is 230983088467. The reversal of 230983088449 is 944880389032.

The square root of 230983088449 is 480607.

It is a perfect power (a square), and thus also a powerful number.

230983088449 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 2 ways, for example, as 71686314049 + 159296774400 = 267743^2 + 399120^2 .

It is not a de Polignac number, because 230983088449 - 27 = 230983088321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230983088393 and 230983088402.

It is not an unprimeable number, because it can be changed into a prime (230983088429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 138894592 + ... + 138896254.

Almost surely, 2230983088449 is an apocalyptic number.

230983088449 is the 480607-th square number.

230983088449 is the 240304-th centered octagonal number.

It is an amenable number.

230983088449 is a deficient number, since it is larger than the sum of its proper divisors (14583935204).

230983088449 is an frugal number, since it uses more digits than its factorization.

230983088449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 230983088449 in words is "two hundred thirty billion, nine hundred eighty-three million, eighty-eight thousand, four hundred forty-nine".

Divisors: 1 17 289 1663 4913 28271 83521 480607 2765569 8170319 47014673 138895423 799249441 13587240497 230983088449