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2221012220 = 22572191011181
BaseRepresentation
bin1000010001100001…
…1111010011111100
312201210020002222212
42010120133103330
514022034342340
61004215555552
7106016202200
oct20430372374
95653202885
102221012220
11a3a781399
1251b98bbb8
132951aa71b
14170d8ab00
15ceebca65
hex8461f4fc

2221012220 has 144 divisors (see below), whose sum is σ = 5772604320. Its totient is φ = 713664000.

The previous prime is 2221012217. The next prime is 2221012229. The reversal of 2221012220 is 222101222.

2221012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2221012195 and 2221012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221012229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880030 + ... + 1881210.

It is an arithmetic number, because the mean of its divisors is an integer number (40087530).

Almost surely, 22221012220 is an apocalyptic number.

2221012220 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 2221012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886302160).

2221012220 is an abundant number, since it is smaller than the sum of its proper divisors (3551592100).

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

2221012220 is a wasteful number, since it uses less digits than its factorization.

2221012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2221012220 is about 47127.6163199456. The cubic root of 2221012220 is about 1304.7189874610.

Adding to 2221012220 its reverse (222101222), we get a palindrome (2443113442).

The spelling of 2221012220 in words is "two billion, two hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 101 133 140 190 196 202 245 266 380 404 490 505 532 665 707 931 980 1010 1181 1330 1414 1862 1919 2020 2362 2660 2828 3535 3724 3838 4655 4724 4949 5905 7070 7676 8267 9310 9595 9898 11810 13433 14140 16534 18620 19190 19796 22439 23620 24745 26866 33068 38380 41335 44878 49490 53732 57869 67165 82670 89756 94031 98980 112195 115738 119281 134330 157073 165340 188062 224390 231476 238562 268660 289345 314146 376124 448780 470155 477124 578690 596405 628292 785365 834967 940310 1099511 1157380 1192810 1570730 1669934 1880620 2199022 2266339 2385620 3141460 3339868 4174835 4398044 4532678 5497555 5844769 8349670 9065356 10995110 11331695 11689538 15864373 16699340 21990220 22663390 23379076 29223845 31728746 45326780 58447690 63457492 79321865 111050611 116895380 158643730 222101222 317287460 444202444 555253055 1110506110 2221012220