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22220000020 = 2254127199991
BaseRepresentation
bin10100101100011010…
…100100101100010100
32010100112211221202201
4110230122210230110
5331001310000040
614112511414244
71414426612111
oct245432445424
963315757681
1022220000020
119472679989
124381524384
1321315bc70a
14110b08b908
158a0ad8a9a
hex52c6a4b14

22220000020 has 48 divisors (see below), whose sum is σ = 47976961536. Its totient is φ = 8639136000.

The previous prime is 22219999993. The next prime is 22220000029. The reversal of 22220000020 is 2000002222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22219999961 and 22220000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220000029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172225 + ... + 272215.

It is an arithmetic number, because the mean of its divisors is an integer number (999520032).

Almost surely, 222220000020 is an apocalyptic number.

22220000020 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 22220000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23988480768).

22220000020 is an abundant number, since it is smaller than the sum of its proper divisors (25756961516).

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

22220000020 is a wasteful number, since it uses less digits than its factorization.

22220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100312 (or 100310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22220000020 its reverse (2000002222), we get a palindrome (24220002242).

The spelling of 22220000020 in words is "twenty-two billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 22222 44444 55555 99991 111110 199982 222220 399964 499955 999910 1999820 4099631 8199262 16398524 20498155 27097561 40996310 54195122 81992620 108390244 135487805 270975610 541951220 1111000001 2222000002 4444000004 5555000005 11110000010 22220000020