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230207340 = 223511237857
BaseRepresentation
bin11011011100010…
…10111101101100
3121001011202002210
431232022331230
5432413113330
634502050420
75463505266
oct1556127554
9531152083
10230207340
11108a45200
1265119a10
133890277c
1422806b36
15153248b0
hexdb8af6c

230207340 has 144 divisors (see below), whose sum is σ = 728503776. Its totient is φ = 54236160.

The previous prime is 230207317. The next prime is 230207357. The reversal of 230207340 is 43702032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268192 + ... + 269048.

It is an arithmetic number, because the mean of its divisors is an integer number (5059054).

Almost surely, 2230207340 is an apocalyptic number.

230207340 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 230207340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364251888).

230207340 is an abundant number, since it is smaller than the sum of its proper divisors (498296436).

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

230207340 is a wasteful number, since it uses less digits than its factorization.

230207340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 230207340 is about 15172.5851455841. The cubic root of 230207340 is about 612.8766219036.

Adding to 230207340 its reverse (43702032), we get a palindrome (273909372).

The spelling of 230207340 in words is "two hundred thirty million, two hundred seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 444 484 555 605 660 726 740 814 857 1110 1210 1221 1452 1628 1714 1815 2035 2220 2420 2442 2571 3428 3630 4070 4285 4477 4884 5142 6105 7260 8140 8570 8954 9427 10284 12210 12855 13431 17140 17908 18854 22385 24420 25710 26862 28281 31709 37708 44770 47135 51420 53724 56562 63418 67155 89540 94270 95127 103697 113124 126836 134310 141405 158545 188540 190254 207394 268620 282810 311091 317090 348799 380508 414788 475635 518485 565620 622182 634180 697598 951270 1036970 1046397 1244364 1395196 1555455 1743995 1902540 2073940 2092794 3110910 3487990 3836789 4185588 5231985 6221820 6975980 7673578 10463970 11510367 15347156 19183945 20927940 23020734 38367890 46041468 57551835 76735780 115103670 230207340