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2221869690 = 234519236277
BaseRepresentation
bin1000010001101111…
…0000101001111010
312201211211200020000
42010123300221322
514022244312230
61004250213430
7106026403125
oct20433605172
95654750200
102221869690
11a40207647
12520124276
1329541aac1
141711313bc
15d00dbb60
hex846f0a7a

2221869690 has 160 divisors (see below), whose sum is σ = 6563272320. Its totient is φ = 536823936.

The previous prime is 2221869679. The next prime is 2221869691. The reversal of 2221869690 is 969681222.

It is a super-2 number, since 2×22218696902 = 9873409838681392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2221869691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 350832 + ... + 357108.

It is an arithmetic number, because the mean of its divisors is an integer number (41020452).

Almost surely, 22221869690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221869690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281636160).

2221869690 is an abundant number, since it is smaller than the sum of its proper divisors (4341402630).

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

2221869690 is a wasteful number, since it uses less digits than its factorization.

2221869690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2221869690 is about 47136.7127619226. The cubic root of 2221869690 is about 1304.8868708908.

The spelling of 2221869690 in words is "two billion, two hundred twenty-one million, eight hundred sixty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 27 30 38 45 46 54 57 69 81 90 95 114 115 135 138 162 171 190 207 230 270 285 342 345 405 414 437 513 570 621 690 810 855 874 1026 1035 1242 1311 1539 1710 1863 2070 2185 2565 2622 3078 3105 3726 3933 4370 5130 6210 6277 6555 7695 7866 9315 11799 12554 13110 15390 18630 18831 19665 23598 31385 35397 37662 39330 56493 58995 62770 70794 94155 112986 117990 119263 144371 169479 176985 188310 238526 282465 288742 338958 353970 357789 433113 508437 564930 596315 715578 721855 847395 866226 1016874 1073367 1192630 1299339 1443710 1694790 1788945 2146734 2165565 2542185 2598678 2743049 3220101 3577890 3898017 4331130 5084370 5366835 5486098 6440202 6496695 7796034 8229147 9660303 10733670 11694051 12993390 13715245 16100505 16458294 19320606 19490085 23388102 24687441 27430490 32201010 38980170 41145735 48301515 49374882 58470255 74062323 82291470 96603030 116940510 123437205 148124646 222186969 246874410 370311615 444373938 740623230 1110934845 2221869690