Search a number
-
+
2000322120 = 2335313714533
BaseRepresentation
bin111011100111010…
…0111111001001000
312011101221220002110
41313032213321020
513044040301440
6530253502320
7100366312626
oct16716477110
95141856073
102000322120
11937147685
12479aa19a0
1325b55ab74
1414d940516
15ba928080
hex773a7e48

2000322120 has 128 divisors (see below), whose sum is σ = 6362403840. Its totient is φ = 502225920.

The previous prime is 2000322101. The next prime is 2000322143. The reversal of 2000322120 is 212230002.

It is a super-2 number, since 2×20003221202 = 8002577167522588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000322096 and 2000322105.

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, 130374 + ... + 144906.

It is an arithmetic number, because the mean of its divisors is an integer number (49706280).

Almost surely, 22000322120 is an apocalyptic number.

2000322120 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 2000322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181201920).

2000322120 is an abundant number, since it is smaller than the sum of its proper divisors (4362081720).

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

2000322120 is a wasteful number, since it uses less digits than its factorization.

2000322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14615 (or 14611 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000322120 is about 44724.9608160812. The cubic root of 2000322120 is about 1259.9886872252.

Adding to 2000322120 its reverse (212230002), we get a palindrome (2212552122).

The spelling of 2000322120 in words is "two billion, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 248 296 310 370 372 444 465 555 620 740 744 888 930 1110 1147 1240 1480 1860 2220 2294 3441 3720 4440 4588 5735 6882 9176 11470 13764 14533 17205 22940 27528 29066 34410 43599 45880 58132 68820 72665 87198 116264 137640 145330 174396 217995 290660 348792 435990 450523 537721 581320 871980 901046 1075442 1351569 1613163 1743960 1802092 2150884 2252615 2688605 2703138 3226326 3604184 4301768 4505230 5377210 5406276 6452652 6757845 8065815 9010460 10754420 10812552 12905304 13515690 16131630 16669351 18020920 21508840 27031380 32263260 33338702 50008053 54062760 64526520 66677404 83346755 100016106 133354808 166693510 200032212 250040265 333387020 400064424 500080530 666774040 1000161060 2000322120