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22002022020 = 223511158321059
BaseRepresentation
bin10100011111011011…
…000011011010000100
32002210100200112011110
4110133123003122010
5330030004201040
614035123405020
71406142046536
oct243733033204
962710615143
1022002022020
119370627880
124320523770
1320c83ac454
1410ca149856
1588b8cc980
hex51f6c3684

22002022020 has 96 divisors (see below), whose sum is σ = 67251824640. Its totient is φ = 5330200960.

The previous prime is 22002022001. The next prime is 22002022043. The reversal of 22002022020 is 2022020022.

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 = 22002021987 and 22002022005.

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, 1034251 + ... + 1055309.

It is an arithmetic number, because the mean of its divisors is an integer number (700539840).

Almost surely, 222002022020 is an apocalyptic number.

22002022020 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 22002022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33625912320).

22002022020 is an abundant number, since it is smaller than the sum of its proper divisors (45249802620).

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

22002022020 is a wasteful number, since it uses less digits than its factorization.

22002022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22665 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22002022020 its reverse (2022020022), we get a palindrome (24024042042).

The spelling of 22002022020 in words is "twenty-two billion, two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1583 3166 4749 6332 7915 9498 15830 17413 18996 21059 23745 31660 34826 42118 47490 52239 63177 69652 84236 87065 94980 104478 105295 126354 174130 208956 210590 231649 252708 261195 315885 348260 421180 463298 522390 631770 694947 926596 1044780 1158245 1263540 1389894 2316490 2779788 3474735 4632980 6949470 13898940 33336397 66672794 100009191 133345588 166681985 200018382 333363970 366700367 400036764 500045955 666727940 733400734 1000091910 1100101101 1466801468 1833501835 2000183820 2200202202 3667003670 4400404404 5500505505 7334007340 11001011010 22002022020