Search a number
-
+
22020201023000 = 235353547759553
BaseRepresentation
bin1010000000110111110100…
…10000101000011000011000
32212222002222200002122120212
411000123322100220120120
510341234332430214000
6114455535105110252
74431623052261515
oct500337220503030
985862880078525
1022020201023000
11701a795459454
1225777b4928388
13c3965aa7784b
14561ad79a030c
15282be158bc35
hex1406fa428618

22020201023000 has 128 divisors (see below), whose sum is σ = 52595529405120. Its totient is φ = 8626080153600.

The previous prime is 22020201022949. The next prime is 22020201023089. The reversal of 22020201023000 is 32010202022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28611224 + ... + 29370776.

Almost surely, 222020201023000 is an apocalyptic number.

22020201023000 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 22020201023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26297764702560).

22020201023000 is an abundant number, since it is smaller than the sum of its proper divisors (30575328382120).

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

22020201023000 is a wasteful number, since it uses less digits than its factorization.

22020201023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760174 (or 760160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22020201023000 its reverse (32010202022), we get a palindrome (22052211225022).

The spelling of 22020201023000 in words is "twenty-two trillion, twenty billion, two hundred one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 547 1000 1060 1094 1325 2120 2188 2650 2735 4376 5300 5470 6625 10600 10940 13250 13675 21880 26500 27350 28991 53000 54700 57982 68375 109400 115964 136750 144955 231928 273500 289910 547000 579820 724775 759553 1159640 1449550 1519106 2899100 3038212 3623875 3797765 5798200 6076424 7247750 7595530 14495500 15191060 18988825 28991000 30382120 37977650 40256309 75955300 80512618 94944125 151910600 161025236 189888250 201281545 322050472 379776500 402563090 415475491 759553000 805126180 830950982 1006407725 1610252360 1661901964 2012815450 2077377455 3323803928 4025630900 4154754910 5032038625 8051261800 8309509820 10064077250 10386887275 16619019640 20128154500 20773774550 22020201023 40256309000 41547549100 44040402046 51934436375 83095098200 88080804092 103868872750 110101005115 176161608184 207737745500 220202010230 415475491000 440404020460 550505025575 880808040920 1101010051150 2202020102300 2752525127875 4404040204600 5505050255750 11010100511500 22020201023000