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2220122230020 = 223456412137981
BaseRepresentation
bin100000010011101001100…
…110001100110100000100
321212020112010122201210000
4200103221212030310010
5242333302242330040
64415524324201300
7316253461405512
oct40235146146404
97766463581700
102220122230020
11786604136252
122ba336539230
13131483686116
14796511934b2
153cb3ccb4130
hex204e998cd04

2220122230020 has 120 divisors (see below), whose sum is σ = 6975474144408. Its totient is φ = 591108710400.

The previous prime is 2220122229989. The next prime is 2220122230111. The reversal of 2220122230020 is 200322210222.

2220122230020 is a `hidden beast` number, since 2 + 220 + 122 + 2 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 141905903616 + 2078216326404 = 376704^2 + 1441602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220122229975 and 2220122230002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30571 + ... + 2107410.

Almost surely, 22220122230020 is an apocalyptic number.

2220122230020 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 2220122230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487737072204).

2220122230020 is an abundant number, since it is smaller than the sum of its proper divisors (4755351914388).

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

2220122230020 is a wasteful number, since it uses less digits than its factorization.

2220122230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138643 (or 2138632 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2220122230020 its reverse (200322210222), we get a palindrome (2420444440242).

The spelling of 2220122230020 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 641 810 1282 1620 1923 2564 3205 3846 5769 6410 7692 9615 11538 12820 17307 19230 23076 28845 34614 38460 51921 57690 69228 86535 103842 115380 173070 207684 259605 346140 519210 1038420 2137981 4275962 6413943 8551924 10689905 12827886 19241829 21379810 25655772 32069715 38483658 42759620 57725487 64139430 76967316 96209145 115450974 128278860 173176461 192418290 230901948 288627435 346352922 384836580 577254870 692705844 865882305 1154509740 1370445821 1731764610 2740891642 3463529220 4111337463 5481783284 6852229105 8222674926 12334012389 13704458210 16445349852 20556687315 24668024778 27408916420 37002037167 41113374630 49336049556 61670061945 74004074334 82226749260 111006111501 123340123890 148008148668 185010185835 222012223002 246680247780 370020371670 444024446004 555030557505 740040743340 1110061115010 2220122230020