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230002020 = 223253147877
BaseRepresentation
bin11011011010110…
…00110101100100
3121000210022110100
431231120311210
5432340031040
634453424100
75461661553
oct1555306544
9530708410
10230002020
11108914a16
126503b030
1338860191
1422791d9a
15152d3b30
hexdb58d64

230002020 has 144 divisors (see below), whose sum is σ = 736339968. Its totient is φ = 58026240.

The previous prime is 230002007. The next prime is 230002021. The reversal of 230002020 is 20200032.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 230001993 and 230002011.

It is not an unprimeable number, because it can be changed into a prime (230002021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261822 + ... + 262698.

It is an arithmetic number, because the mean of its divisors is an integer number (5113472).

Almost surely, 2230002020 is an apocalyptic number.

230002020 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 230002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368169984).

230002020 is an abundant number, since it is smaller than the sum of its proper divisors (506337948).

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

230002020 is a wasteful number, since it uses less digits than its factorization.

230002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 230002020 is about 15165.8174853847. The cubic root of 230002020 is about 612.6943611973.

Adding to 230002020 its reverse (20200032), we get a palindrome (250202052).

The spelling of 230002020 in words is "two hundred thirty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 877 930 940 1116 1395 1410 1457 1692 1754 1860 2115 2631 2790 2820 2914 3508 4230 4371 4385 5262 5580 5828 7285 7893 8460 8742 8770 10524 13113 13155 14570 15786 17484 17540 21855 26226 26310 27187 29140 31572 39465 41219 43710 52452 52620 54374 65565 78930 81561 82438 87420 108748 123657 131130 135935 157860 163122 164876 206095 244683 247314 262260 271870 326244 370971 407805 412190 489366 494628 543740 618285 741942 815610 824380 978732 1223415 1236570 1277789 1483884 1631220 1854855 2446830 2473140 2555578 3709710 3833367 4893660 5111156 6388945 7419420 7666734 11500101 12777890 15333468 19166835 23000202 25555780 38333670 46000404 57500505 76667340 115001010 230002020