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230422140 = 2232513591669
BaseRepresentation
bin11011011101111…
…11011001111100
3121001120122202100
431232333121330
5432442002030
634510425100
75465361444
oct1556773174
9531518670
10230422140
11109081623
1265202190
1338979480
1422861124
1515368360
hexdbbf67c

230422140 has 144 divisors (see below), whose sum is σ = 765928800. Its totient is φ = 55724544.

The previous prime is 230422133. The next prime is 230422183. The reversal of 230422140 is 41224032.

230422140 is a `hidden beast` number, since 230 + 422 + 14 + 0 = 666.

230422140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137226 + ... + 138894.

It is an arithmetic number, because the mean of its divisors is an integer number (5318950).

Almost surely, 2230422140 is an apocalyptic number.

230422140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382964400).

230422140 is an abundant number, since it is smaller than the sum of its proper divisors (535506660).

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

230422140 is a wasteful number, since it uses less digits than its factorization.

230422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230422140 is about 15179.6620515741. The cubic root of 230422140 is about 613.0671819651.

Adding to 230422140 its reverse (41224032), we get a palindrome (271646172).

The spelling of 230422140 in words is "two hundred thirty million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1669 1770 2124 2301 2340 2655 3068 3338 3540 3835 4602 5007 5310 6676 6903 7670 8345 9204 10014 10620 11505 13806 15021 15340 16690 20028 21697 23010 25035 27612 30042 33380 34515 43394 46020 50070 60084 65091 69030 75105 86788 98471 100140 108485 130182 138060 150210 195273 196942 216970 260364 295413 300420 325455 390546 393884 433940 492355 590826 650910 781092 886239 976365 984710 1181652 1280123 1301820 1477065 1772478 1952730 1969420 2560246 2954130 3544956 3840369 3905460 4431195 5120492 5908260 6400615 7680738 8862390 11521107 12801230 15361476 17724780 19201845 23042214 25602460 38403690 46084428 57605535 76807380 115211070 230422140