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22024000020 = 223511251132947
BaseRepresentation
bin10100100000101110…
…111001001000010100
32002211220001010022110
4110200232321020110
5330101121000040
614041230431020
71406526624411
oct244056711024
962756033273
1022024000020
119381a79210
124327962470
1320ccb05c99
1410cd02b108
1588d7be980
hex520bb9214

22024000020 has 96 divisors (see below), whose sum is σ = 67541838336. Its totient is φ = 5317840000.

The previous prime is 22024000007. The next prime is 22024000039. The reversal of 22024000020 is 2000042022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99187 + ... + 232133.

It is an arithmetic number, because the mean of its divisors is an integer number (703560816).

Almost surely, 222024000020 is an apocalyptic number.

22024000020 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 22024000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33770919168).

22024000020 is an abundant number, since it is smaller than the sum of its proper divisors (45517838316).

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

22024000020 is a wasteful number, since it uses less digits than its factorization.

22024000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133221 (or 133219 counting only the distinct ones).

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

Adding to 22024000020 its reverse (2000042022), we get a palindrome (24024042042).

The spelling of 22024000020 in words is "twenty-two billion, twenty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 251 330 502 660 753 1004 1255 1506 2510 2761 3012 3765 5020 5522 7530 8283 11044 13805 15060 16566 27610 33132 41415 55220 82830 132947 165660 265894 398841 531788 664735 797682 1329470 1462417 1595364 1994205 2658940 2924834 3988410 4387251 5849668 7312085 7976820 8774502 14624170 17549004 21936255 29248340 33369697 43872510 66739394 87745020 100109091 133478788 166848485 200218182 333696970 367066667 400436364 500545455 667393940 734133334 1001090910 1101200001 1468266668 1835333335 2002181820 2202400002 3670666670 4404800004 5506000005 7341333340 11012000010 22024000020