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231846930 = 232572192767
BaseRepresentation
bin11011101000110…
…11010000010010
3121011021001012100
431310123100102
5433323100210
635001141230
75513444400
oct1564332022
9534231170
10231846930
11109965037
126578a816
1339057b43
1422b12470
151554a5c0
hexdd1b412

231846930 has 144 divisors (see below), whose sum is σ = 738391680. Its totient is φ = 50186304.

The previous prime is 231846919. The next prime is 231846941. The reversal of 231846930 is 39648132.

It is an interprime number because it is at equal distance from previous prime (231846919) and next prime (231846941).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82407 + ... + 85173.

It is an arithmetic number, because the mean of its divisors is an integer number (5127720).

Almost surely, 2231846930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231846930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369195840).

231846930 is an abundant number, since it is smaller than the sum of its proper divisors (506544750).

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

231846930 is a wasteful number, since it uses less digits than its factorization.

231846930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 231846930 is about 15226.5206137187. The cubic root of 231846930 is about 614.3281976078.

The spelling of 231846930 in words is "two hundred thirty-one million, eight hundred forty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1995 2205 2394 2767 2793 3990 4410 4655 5534 5586 5985 8301 8379 9310 11970 13835 13965 16602 16758 19369 24903 27670 27930 38738 41505 41895 49806 52573 58107 83010 83790 96845 105146 116214 124515 135583 157719 174321 193690 249030 262865 271166 290535 315438 348642 368011 406749 473157 525730 581070 677915 736022 788595 813498 871605 946314 1104033 1220247 1355830 1577190 1743210 1840055 2033745 2208066 2365785 2440494 2576077 3312099 3680110 4067490 4731570 5152154 5520165 6101235 6624198 7728231 11040330 12202470 12880385 15456462 16560495 23184693 25760770 33120990 38641155 46369386 77282310 115923465 231846930