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2000226216 = 23319371031151
BaseRepresentation
bin111011100111001…
…0000011110101000
312011101210000112110
41313032100132220
513044024214331
6530251442320
7100365433212
oct16716203650
95141700473
102000226216
1193709161a
12479a563a0
1325b526311
1414d9175b2
15ba909946
hex773907a8

2000226216 has 128 divisors (see below), whose sum is σ = 5463244800. Its totient is φ = 608083200.

The previous prime is 2000226203. The next prime is 2000226259. The reversal of 2000226216 is 6126220002.

2000226216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2000226192 and 2000226201.

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, 1737241 + ... + 1738391.

It is an arithmetic number, because the mean of its divisors is an integer number (42681600).

Almost surely, 22000226216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000226216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731622400).

2000226216 is an abundant number, since it is smaller than the sum of its proper divisors (3463018584).

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

2000226216 is a wasteful number, since it uses less digits than its factorization.

2000226216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2000226216 is about 44723.8886502504. Note that the first 3 decimals coincide. The cubic root of 2000226216 is about 1259.9685504874.

Adding to 2000226216 its reverse (6126220002), we get a palindrome (8126446218).

The spelling of 2000226216 in words is "two billion, two hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 103 111 114 148 152 206 222 228 296 309 412 444 456 618 703 824 888 1151 1236 1406 1957 2109 2302 2472 2812 3453 3811 3914 4218 4604 5624 5871 6906 7622 7828 8436 9208 11433 11742 13812 15244 15656 16872 21869 22866 23484 27624 30488 42587 43738 45732 46968 65607 72409 85174 87476 91464 118553 127761 131214 144818 170348 174952 217227 237106 255522 262428 289636 340696 355659 434454 474212 511044 524856 579272 711318 809153 868908 948424 1022088 1422636 1618306 1737816 2252507 2427459 2845272 3236612 4386461 4505014 4854918 6473224 6757521 8772922 9010028 9709836 13159383 13515042 17545844 18020056 19419672 26318766 27030084 35091688 52637532 54060168 83342759 105275064 166685518 250028277 333371036 500056554 666742072 1000113108 2000226216