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10230248 = 237317183
BaseRepresentation
bin100111000001…
…100111101000
3201020202021002
4213001213220
510104331443
61003134132
7152645540
oct47014750
921222232
1010230248
115858156
123514348
132172602
141504320
15d712b8
hex9c19e8

10230248 has 64 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 4132800.

The previous prime is 10230247. The next prime is 10230257. The reversal of 10230248 is 84203201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123215 + ... + 123297.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 210230248 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 10230248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10230248 is an abundant number, since it is smaller than the sum of its proper divisors (12994072).

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

10230248 is a wasteful number, since it uses less digits than its factorization.

10230248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10230248 is about 3198.4758870437. The cubic root of 10230248 is about 217.0844525354.

Adding to 10230248 its reverse (84203201), we get a palindrome (94433449).

The spelling of 10230248 in words is "ten million, two hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 71 83 124 142 166 217 248 284 332 434 497 568 581 664 868 994 1162 1736 1988 2201 2324 2573 3976 4402 4648 5146 5893 8804 10292 11786 15407 17608 18011 20584 23572 30814 36022 41251 47144 61628 72044 82502 123256 144088 165004 182683 330008 365366 730732 1278781 1461464 2557562 5115124 10230248