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890148231 = 337231931061
BaseRepresentation
bin110101000011101…
…001010110000111
32022000222012211000
4311003221112013
53310334220411
6224154544343
731026064230
oct6503512607
92260865730
10890148231
114175135a5
1220a1380b3
1311255743b
1486314087
1553232956
hex350e9587

890148231 has 64 divisors (see below), whose sum is σ = 1582295040. Its totient is φ = 483563520.

The previous prime is 890148227. The next prime is 890148241. The reversal of 890148231 is 132841098.

890148231 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 890148231 - 22 = 890148227 is a prime.

It is a super-2 number, since 2×8901482312 = 1584727746304858722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890148241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838441 + ... + 839501.

It is an arithmetic number, because the mean of its divisors is an integer number (24723360).

Almost surely, 2890148231 is an apocalyptic number.

890148231 is a deficient number, since it is larger than the sum of its proper divisors (692146809).

890148231 is a wasteful number, since it uses less digits than its factorization.

890148231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 890148231 is about 29835.3520341222. The cubic root of 890148231 is about 961.9535706748.

The spelling of 890148231 in words is "eight hundred ninety million, one hundred forty-eight thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 193 207 483 579 621 1061 1351 1449 1737 3183 4053 4347 4439 5211 7427 9549 12159 13317 22281 24403 28647 31073 36477 39951 66843 73209 93219 119853 170821 200529 204773 219627 279657 512463 614319 658881 838971 1433411 1537389 1842957 4300233 4612167 4709779 5528871 12900699 14129337 32968453 38702097 42388011 98905359 127164033 296716077 890148231