Search a number
-
+
22021111020 = 22353161194087
BaseRepresentation
bin10100100000100011…
…110111110011101100
32002211200121100100110
4110200203313303230
5330044401023040
614041044500020
71406463232566
oct244043676354
962750540313
1022021111020
119380385707
1243269aa610
1320cc33400c
1410cc8b8336
1588d3ed980
hex5208f7cec

22021111020 has 96 divisors (see below), whose sum is σ = 64691859456. Its totient is φ = 5589676800.

The previous prime is 22021111009. The next prime is 22021111027. The reversal of 22021111020 is 2011112022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22021110987 and 22021111005.

It is not an unprimeable number, because it can be changed into a prime (22021111027) 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, 16417 + ... + 210503.

It is an arithmetic number, because the mean of its divisors is an integer number (673873536).

Almost surely, 222021111020 is an apocalyptic number.

22021111020 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 22021111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32345929728).

22021111020 is an abundant number, since it is smaller than the sum of its proper divisors (42670748436).

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

22021111020 is a wasteful number, since it uses less digits than its factorization.

22021111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194191 (or 194189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22021111020 its reverse (2011112022), we get a palindrome (24032223042).

The spelling of 22021111020 in words is "twenty-two billion, twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 122 124 155 183 186 244 305 310 366 372 465 610 620 732 915 930 1220 1830 1860 1891 3660 3782 5673 7564 9455 11346 18910 22692 28365 37820 56730 113460 194087 388174 582261 776348 970435 1164522 1940870 2329044 2911305 3881740 5822610 6016697 11645220 11839307 12033394 18050091 23678614 24066788 30083485 35517921 36100182 47357228 59196535 60166970 71035842 72200364 90250455 118393070 120333940 142071684 177589605 180500910 236786140 355179210 361001820 367018517 710358420 734037034 1101055551 1468074068 1835092585 2202111102 3670185170 4404222204 5505277755 7340370340 11010555510 22021111020