Search a number
-
+
2008208468420 = 2257115861222493
BaseRepresentation
bin11101001110010010100…
…011010110100111000100
321002222112111112020202222
4131032102203112213010
5230400302331442140
64134320324551512
7265042164222620
oct35162243264704
97088474466688
102008208468420
11704749365690
12285254b52598
131174b103818b
146d2aab02180
15373889565b5
hex1d3928d69c4

2008208468420 has 96 divisors (see below), whose sum is σ = 5258775626496. Its totient is φ = 625825497600.

The previous prime is 2008208468411. The next prime is 2008208468423. The reversal of 2008208468420 is 248648028002.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2008208468423) 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, 8914694 + ... + 9137186.

It is an arithmetic number, because the mean of its divisors is an integer number (54778912776).

Almost surely, 22008208468420 is an apocalyptic number.

2008208468420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008208468420 is an abundant number, since it is smaller than the sum of its proper divisors (3250567158076).

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

2008208468420 is a wasteful number, since it uses less digits than its factorization.

2008208468420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228381 (or 228379 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 2008208468420 in words is "two trillion, eight billion, two hundred eight million, four hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 5861 11722 23444 29305 41027 58610 64471 82054 117220 128942 164108 205135 222493 257884 322355 410270 444986 451297 644710 820540 889972 902594 1112465 1289420 1557451 1805188 2224930 2256485 2447423 3114902 4449860 4512970 4894846 6229804 7787255 9025940 9789692 12237115 15574510 17131961 24474230 31149020 34263922 48948460 68527844 85659805 171319610 342639220 1304031473 2608062946 5216125892 6520157365 9128220311 13040314730 14344346203 18256440622 26080629460 28688692406 36512881244 45641101555 57377384812 71721731015 91282203110 100410423421 143443462030 182564406220 200820846842 286886924060 401641693684 502052117105 1004104234210 2008208468420