Search a number
-
+
2000002320 = 243351948733
BaseRepresentation
bin111011100110101…
…1001110100010000
312011101100122102000
41313031121310100
513044000033240
6530242554000
7100363511361
oct16715316420
95141318360
102000002320
11936a49388
12479968900
1325b478434
1414d899b68
15ba8b3430
hex77359d10

2000002320 has 160 divisors (see below), whose sum is σ = 7251619200. Its totient is φ = 505253376.

The previous prime is 2000002307. The next prime is 2000002321. The reversal of 2000002320 is 232000002.

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

It is not an unprimeable number, because it can be changed into a prime (2000002321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16674 + ... + 65406.

It is an arithmetic number, because the mean of its divisors is an integer number (45322620).

Almost surely, 22000002320 is an apocalyptic number.

2000002320 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 2000002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625809600).

2000002320 is an abundant number, since it is smaller than the sum of its proper divisors (5251616880).

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

2000002320 is a wasteful number, since it uses less digits than its factorization.

2000002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48774 (or 48762 counting only the distinct ones).

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

The square root of 2000002320 is about 44721.3854883768. The cubic root of 2000002320 is about 1259.9215370642.

Adding to 2000002320 its reverse (232000002), we get a palindrome (2232002322).

The spelling of 2000002320 in words is "two billion, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 48733 97466 146199 194932 243665 292398 389864 438597 487330 584796 730995 779728 877194 925927 974660 1169592 1315791 1461990 1754388 1851854 1949320 2192985 2339184 2631582 2777781 2923980 3508776 3703708 3898640 4385970 4629635 5263164 5555562 5847960 6578955 7017552 7407416 8333343 8771940 9259270 10526328 11111124 11695920 13157910 13888905 14814832 16666686 17543880 18518540 21052656 22222248 25000029 26315820 27777810 33333372 35087760 37037080 41666715 44444496 50000058 52631640 55555620 66666744 74074160 83333430 100000116 105263280 111111240 125000145 133333488 166666860 200000232 222222480 250000290 333333720 400000464 500000580 666667440 1000001160 2000002320