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230166321 = 37112239379
BaseRepresentation
bin11011011100000…
…00111100110001
3121001002122211120
431232000330301
5432410310241
634501132453
75463244560
oct1556007461
9531078746
10230166321
11108a17400
12650ba129
13388b9bb8
14227d5bd7
1515317666
hexdb80f31

230166321 has 48 divisors (see below), whose sum is σ = 388147200. Its totient is φ = 118752480.

The previous prime is 230166317. The next prime is 230166331. The reversal of 230166321 is 123661032.

It is a happy number.

230166321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230166321 - 22 = 230166317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230166291 and 230166300.

It is not an unprimeable number, because it can be changed into a prime (230166311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607110 + ... + 607488.

It is an arithmetic number, because the mean of its divisors is an integer number (8086400).

Almost surely, 2230166321 is an apocalyptic number.

230166321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230166321 is a deficient number, since it is larger than the sum of its proper divisors (157980879).

230166321 is a wasteful number, since it uses less digits than its factorization.

230166321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 230166321 is about 15171.2333381304. The cubic root of 230166321 is about 612.8402183736.

The spelling of 230166321 in words is "two hundred thirty million, one hundred sixty-six thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 121 231 239 363 379 717 847 1137 1673 2541 2629 2653 4169 5019 7887 7959 12507 18403 28919 29183 45859 55209 86757 87549 90581 137577 202433 271743 321013 607299 634067 963039 996391 1902201 2989173 6974737 10960301 20924211 32880903 76722107 230166321