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230102640 = 24335307347
BaseRepresentation
bin11011011011100…
…01011001110000
3121000222102111000
431231301121300
5432401241030
634455522000
75462561115
oct1555613160
9530872430
10230102640
11108983579
1265089300
1338896c11
14227ba90c
1515303860
hexdb71670

230102640 has 160 divisors (see below), whose sum is σ = 797448960. Its totient is φ = 60984576.

The previous prime is 230102623. The next prime is 230102657. The reversal of 230102640 is 46201032.

It is a happy number.

230102640 is a `hidden beast` number, since 23 + 0 + 1 + 0 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (230102623) and next prime (230102657).

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 31 ways as a sum of consecutive naturals, for example, 662947 + ... + 663293.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2230102640 is an apocalyptic number.

230102640 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 230102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398724480).

230102640 is an abundant number, since it is smaller than the sum of its proper divisors (567346320).

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

230102640 is a wasteful number, since it uses less digits than its factorization.

230102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230102640 is about 15169.1344512467. The cubic root of 230102640 is about 612.7836942081.

Adding to 230102640 its reverse (46201032), we get a palindrome (276303672).

The spelling of 230102640 in words is "two hundred thirty million, one hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 307 347 360 432 540 614 694 720 921 1041 1080 1228 1388 1535 1735 1842 2082 2160 2456 2763 2776 3070 3123 3470 3684 4164 4605 4912 5205 5526 5552 6140 6246 6940 7368 8289 8328 9210 9369 10410 11052 12280 12492 13815 13880 14736 15615 16578 16656 18420 18738 20820 22104 24560 24984 27630 27760 31230 33156 36840 37476 41445 41640 44208 46845 49968 55260 62460 66312 73680 74952 82890 83280 93690 106529 110520 124920 132624 149904 165780 187380 213058 221040 249840 319587 331560 374760 426116 532645 639174 663120 749520 852232 958761 1065290 1278348 1597935 1704464 1917522 2130580 2556696 2876283 3195870 3835044 4261160 4793805 5113392 5752566 6391740 7670088 8522320 9587610 11505132 12783480 14381415 15340176 19175220 23010264 25566960 28762830 38350440 46020528 57525660 76700880 115051320 230102640