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230159820 = 2235112411447
BaseRepresentation
bin11011011011111…
…11010111001100
3121001002022220210
431231333113030
5432410103240
634501042420
75463216612
oct1555772714
9531068823
10230159820
11108a12530
12650b6410
13388b6c57
14227d36b2
1515315780
hexdb7f5cc

230159820 has 96 divisors (see below), whose sum is σ = 706438656. Its totient is φ = 55526400.

The previous prime is 230159819. The next prime is 230159833. The reversal of 230159820 is 28951032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158337 + ... + 159783.

It is an arithmetic number, because the mean of its divisors is an integer number (7358736).

Almost surely, 2230159820 is an apocalyptic number.

230159820 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 230159820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353219328).

230159820 is an abundant number, since it is smaller than the sum of its proper divisors (476278836).

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

230159820 is a wasteful number, since it uses less digits than its factorization.

230159820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 230159820 is about 15171.0190824480. The cubic root of 230159820 is about 612.8344484710.

The spelling of 230159820 in words is "two hundred thirty million, one hundred fifty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 241 330 482 660 723 964 1205 1446 1447 2410 2651 2892 2894 3615 4341 4820 5302 5788 7230 7235 7953 8682 10604 13255 14460 14470 15906 15917 17364 21705 26510 28940 31812 31834 39765 43410 47751 53020 63668 79530 79585 86820 95502 159060 159170 191004 238755 318340 348727 477510 697454 955020 1046181 1394908 1743635 2092362 3487270 3835997 4184724 5230905 6974540 7671994 10461810 11507991 15343988 19179985 20923620 23015982 38359970 46031964 57539955 76719940 115079910 230159820