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230041140 = 22357836599
BaseRepresentation
bin11011011011000…
…10011000110100
3121000212022010020
431231202120310
5432342304030
634454325140
75462213610
oct1555423064
9530768106
10230041140
1110894134a
12650597b0
1338874c24
14227a2340
15152e0510
hexdb62634

230041140 has 96 divisors (see below), whose sum is σ = 745113600. Its totient is φ = 51939456.

The previous prime is 230041129. The next prime is 230041153. The reversal of 230041140 is 41140032.

230041140 is digitally balanced in base 2, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31561 + ... + 38159.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2230041140 is an apocalyptic number.

230041140 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 230041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).

230041140 is an abundant number, since it is smaller than the sum of its proper divisors (515072460).

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

230041140 is a wasteful number, since it uses less digits than its factorization.

230041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230041140 is about 15167.1071730901. The cubic root of 230041140 is about 612.7290960294.

Adding to 230041140 its reverse (41140032), we get a palindrome (271181172).

It can be divided in two parts, 230041 and 140, that added together give a triangular number (230181 = T678).

The spelling of 230041140 in words is "two hundred thirty million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6599 6972 8715 11620 13198 17430 19797 26396 32995 34860 39594 46193 65990 79188 92386 98985 131980 138579 184772 197970 230965 277158 395940 461930 547717 554316 692895 923860 1095434 1385790 1643151 2190868 2738585 2771580 3286302 3834019 5477170 6572604 7668038 8215755 10954340 11502057 15336076 16431510 19170095 23004114 32863020 38340190 46008228 57510285 76680380 115020570 230041140