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2220075084 = 2231797151743
BaseRepresentation
bin1000010001010011…
…1010100001001100
312201201110111111010
42010110322201030
514021314400314
61004143525220
7106005220053
oct20424724114
95651414433
102220075084
11a3a1a12a7
1251b5b9810
13294c3ccc6
14170bc539a
15ced85059
hex8453a84c

2220075084 has 96 divisors (see below), whose sum is σ = 5585642496. Its totient is φ = 683827200.

The previous prime is 2220075071. The next prime is 2220075103. The reversal of 2220075084 is 4805700222.

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, 2987617 + ... + 2988359.

It is an arithmetic number, because the mean of its divisors is an integer number (58183776).

Almost surely, 22220075084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220075084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792821248).

2220075084 is an abundant number, since it is smaller than the sum of its proper divisors (3365567412).

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

2220075084 is a wasteful number, since it uses less digits than its factorization.

2220075084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2220075084 is about 47117.6727353973. The cubic root of 2220075084 is about 1304.5354568571.

The spelling of 2220075084 in words is "two billion, two hundred twenty million, seventy-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 151 194 204 291 302 388 453 582 604 743 906 1164 1486 1649 1812 2229 2567 2972 3298 4458 4947 5134 6596 7701 8916 9894 10268 12631 14647 15402 19788 25262 29294 30804 37893 43941 50524 58588 72071 75786 87882 112193 144142 151572 175764 216213 224386 248999 288284 336579 432426 448772 497998 673158 746997 864852 995996 1225207 1346316 1493994 1907281 2450414 2987988 3675621 3814562 4900828 5721843 7351242 7629124 10882721 11443686 14702484 21765442 22887372 32648163 43530884 65296326 130592652 185006257 370012514 555018771 740025028 1110037542 2220075084