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231024906 = 2337312473
BaseRepresentation
bin11011100010100…
…10100100001010
3121002201021121000
431301102210022
5433120244111
634531355430
75503452000
oct1561224412
9532637530
10231024906
11109453482
1265452b76
1338b2a938
142297aa70
1515436c56
hexdc5290a

231024906 has 64 divisors (see below), whose sum is σ = 598752000. Its totient is φ = 66001824.

The previous prime is 231024901. The next prime is 231024907. The reversal of 231024906 is 609420132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 231024906.

It is not an unprimeable number, because it can be changed into a prime (231024901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12286 + ... + 24758.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2231024906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231024906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376000).

231024906 is an abundant number, since it is smaller than the sum of its proper divisors (367727094).

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

231024906 is a wasteful number, since it uses less digits than its factorization.

231024906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 231024906 is about 15199.5034787325. The cubic root of 231024906 is about 613.6012948399.

The spelling of 231024906 in words is "two hundred thirty-one million, twenty-four thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2646 3087 6174 9261 12473 18522 24946 37419 74838 87311 112257 174622 224514 261933 336771 523866 611177 673542 785799 1222354 1571598 1833531 2357397 3667062 4278239 4714794 5500593 8556478 11001186 12834717 16501779 25669434 33003558 38504151 77008302 115512453 231024906