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2000564412 = 2237119672239
BaseRepresentation
bin111011100111110…
…0011000010111100
312011102102012110020
41313033203002330
513044121030122
6530303012140
7100401342210
oct16717430274
95142365406
102000564412
119372a2720
12479b9a050
1325b614232
1414d9a4940
15ba974c5c
hex773e30bc

2000564412 has 96 divisors (see below), whose sum is σ = 5828444160. Its totient is φ = 518857920.

The previous prime is 2000564399. The next prime is 2000564459. The reversal of 2000564412 is 2144650002.

It is a congruent number.

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, 892389 + ... + 894627.

It is an arithmetic number, because the mean of its divisors is an integer number (60712960).

Almost surely, 22000564412 is an apocalyptic number.

2000564412 is a gapful number since it is divisible by the number (22) 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 2000564412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914222080).

2000564412 is an abundant number, since it is smaller than the sum of its proper divisors (3827879748).

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

2000564412 is a wasteful number, since it uses less digits than its factorization.

2000564412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2000564412 is about 44727.6694228528. The cubic root of 2000564412 is about 1260.0395578410.

The spelling of 2000564412 in words is "two billion, five hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 967 1934 2239 2901 3868 4478 5802 6717 6769 8956 10637 11604 13434 13538 15673 20307 21274 24629 26868 27076 31346 31911 40614 42548 47019 49258 62692 63822 73887 74459 81228 94038 98516 127644 147774 148918 172403 188076 223377 295548 297836 344806 446754 517209 689612 893508 1034418 2068836 2165113 4330226 6495339 8660452 12990678 15155791 23816243 25981356 30311582 45467373 47632486 60623164 71448729 90934746 95264972 142897458 166713701 181869492 285794916 333427402 500141103 666854804 1000282206 2000564412