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2110216420 = 2251323595981
BaseRepresentation
bin111110111000111…
…0101100011100100
312110001202002201201
41331301311203210
513310203411140
6545221132244
7103202354314
oct17561654344
95401662651
102110216420
11993186914
124aa85a084
13278257090
14160389444
15c53d449a
hex7dc758e4

2110216420 has 96 divisors (see below), whose sum is σ = 5065079040. Its totient is φ = 732526080.

The previous prime is 2110216417. The next prime is 2110216441. The reversal of 2110216420 is 246120112.

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, 349830 + ... + 355810.

It is an arithmetic number, because the mean of its divisors is an integer number (52761240).

Almost surely, 22110216420 is an apocalyptic number.

2110216420 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 2110216420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532539520).

2110216420 is an abundant number, since it is smaller than the sum of its proper divisors (2954862620).

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

2110216420 is a wasteful number, since it uses less digits than its factorization.

2110216420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2110216420 is about 45937.0919845826. The cubic root of 2110216420 is about 1282.6524627266.

Adding to 2110216420 its reverse (246120112), we get a palindrome (2356336532).

The spelling of 2110216420 in words is "two billion, one hundred ten million, two hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 59 65 92 115 118 130 230 236 260 295 299 460 590 598 767 1180 1196 1357 1495 1534 2714 2990 3068 3835 5428 5980 5981 6785 7670 11962 13570 15340 17641 23924 27140 29905 35282 59810 70564 77753 88205 119620 137563 155506 176410 275126 311012 352820 352879 388765 550252 687815 705758 777530 1375630 1411516 1555060 1764395 1788319 2751260 3528790 3576638 4587427 7057580 7153276 8116217 8941595 9174854 16232434 17883190 18349708 22937135 32464868 35766380 40581085 45874270 81162170 91748540 105510821 162324340 211021642 422043284 527554105 1055108210 2110216420