Search a number
-
+
20011222320 = 2435671244479
BaseRepresentation
bin10010101000110000…
…110000010100110000
31220122121122102101020
4102220300300110300
5311440333103240
613105405535440
71305616404015
oct225060602460
956577572336
1020011222320
1185398a4571
123a65874580
131b6bb0696b
14d7b9a770c
157c1c360d0
hex4a8c30530

20011222320 has 80 divisors (see below), whose sum is σ = 62960732160. Its totient is φ = 5256675072.

The previous prime is 20011222307. The next prime is 20011222367. The reversal of 20011222320 is 2322211002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20011222320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606160 + ... + 638319.

It is an arithmetic number, because the mean of its divisors is an integer number (787009152).

Almost surely, 220011222320 is an apocalyptic number.

20011222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011222320 is an abundant number, since it is smaller than the sum of its proper divisors (42949509840).

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

20011222320 is a wasteful number, since it uses less digits than its factorization.

20011222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244562 (or 1244556 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20011222320 its reverse (2322211002), we get a palindrome (22333433322).

The spelling of 20011222320 in words is "twenty billion, eleven million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 1244479 2488958 3733437 4977916 6222395 7466874 9955832 12444790 14933748 18667185 19911664 24889580 29867496 37334370 49779160 59734992 74668740 83380093 99558320 149337480 166760186 250140279 298674960 333520372 416900465 500280558 667040744 833800930 1000561116 1250701395 1334081488 1667601860 2001122232 2501402790 3335203720 4002244464 5002805580 6670407440 10005611160 20011222320