Search a number
-
+
2022340403000 = 235313173321061
BaseRepresentation
bin11101011011011100111…
…000011001111100111000
321011100000101020220120102
4131123130320121330320
5231113223120344000
64145014513214532
7266052323540231
oct35333470317470
97140011226512
102022340403000
1170a740487265
12287b39861448
13118923a8c248
146dc4b920088
153791444b3d5
hex1d6dce19f38

2022340403000 has 128 divisors (see below), whose sum is σ = 4775132831040. Its totient is φ = 801627840000.

The previous prime is 2022340402993. The next prime is 2022340403029. The reversal of 2022340403000 is 3040432202.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 96012470 + ... + 96033530.

Almost surely, 22022340403000 is an apocalyptic number.

2022340403000 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 2022340403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387566415520).

2022340403000 is an abundant number, since it is smaller than the sum of its proper divisors (2752792428040).

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

2022340403000 is a wasteful number, since it uses less digits than its factorization.

2022340403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21946 (or 21932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2022340403000 its reverse (3040432202), we get a palindrome (2025380835202).

The spelling of 2022340403000 in words is "two trillion, twenty-two billion, three hundred forty million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 733 1000 1048 1310 1466 2620 2932 3275 3665 5240 5864 6550 7330 13100 14660 16375 18325 21061 26200 29320 32750 36650 42122 65500 73300 84244 91625 96023 105305 131000 146600 168488 183250 192046 210610 366500 384092 421220 480115 526525 733000 768184 842440 960230 1053050 1920460 2106100 2400575 2632625 2758991 3840920 4212200 4801150 5265250 5517982 9602300 10530500 11035964 12002875 13794955 15437713 19204600 21061000 22071928 24005750 27589910 30875426 48011500 55179820 61750852 68974775 77188565 96023000 110359640 123501704 137949550 154377130 275899100 308754260 344873875 385942825 551798200 617508520 689747750 771885650 1379495500 1543771300 1929714125 2022340403 2758991000 3087542600 3859428250 4044680806 7718856500 8089361612 10111702015 15437713000 16178723224 20223404030 40446808060 50558510075 80893616120 101117020150 202234040300 252792550375 404468080600 505585100750 1011170201500 2022340403000