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22221211020 = 22351729097489
BaseRepresentation
bin10100101100011111…
…001100010110001100
32010100122010110221120
4110230133030112030
5331002112223040
614112553400540
71414443114531
oct245437142614
963318113846
1022221211020
119473326808
124381a09150
132131924998
14110b2c4d88
158a0c777d0
hex52c7cc58c

22221211020 has 96 divisors (see below), whose sum is σ = 65910801600. Its totient is φ = 5574426624.

The previous prime is 22221210997. The next prime is 22221211063. The reversal of 22221211020 is 2011212222.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2963436 + ... + 2970924.

It is an arithmetic number, because the mean of its divisors is an integer number (686570850).

Almost surely, 222221211020 is an apocalyptic number.

22221211020 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 22221211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32955400800).

22221211020 is an abundant number, since it is smaller than the sum of its proper divisors (43689590580).

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

22221211020 is a wasteful number, since it uses less digits than its factorization.

22221211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22221211020 its reverse (2011212222), we get a palindrome (24232423242).

The spelling of 22221211020 in words is "twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2909 5818 7489 8727 11636 14545 14978 17454 22467 29090 29956 34908 37445 43635 44934 49453 58180 74890 87270 89868 98906 112335 127313 148359 149780 174540 197812 224670 247265 254626 296718 381939 449340 494530 509252 593436 636565 741795 763878 989060 1273130 1483590 1527756 1909695 2546260 2967180 3819390 7638780 21785501 43571002 65356503 87142004 108927505 130713006 217855010 261426012 326782515 370353517 435710020 653565030 740707034 1111060551 1307130060 1481414068 1851767585 2222121102 3703535170 4444242204 5555302755 7407070340 11110605510 22221211020