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11223201220 = 22571144316451
BaseRepresentation
bin10100111001111010…
…00111010111000100
31001222011102200202021
422130331013113010
5140441114414340
65053400052524
7545056431160
oct123475072704
931864380667
1011223201220
11483a228210
122212764144
13109b24618a
147867b1ca0
1545a47ce4a
hex29cf475c4

11223201220 has 96 divisors (see below), whose sum is σ = 29452502016. Its totient is φ = 3490032000.

The previous prime is 11223201211. The next prime is 11223201221. The reversal of 11223201220 is 2210232211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11223201194 and 11223201203.

It is not an unprimeable number, because it can be changed into a prime (11223201221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673995 + ... + 690445.

It is an arithmetic number, because the mean of its divisors is an integer number (306796896).

Almost surely, 211223201220 is an apocalyptic number.

11223201220 is a gapful number since it is divisible by the number (10) 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 11223201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726251008).

11223201220 is an abundant number, since it is smaller than the sum of its proper divisors (18229300796).

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

11223201220 is a wasteful number, since it uses less digits than its factorization.

11223201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16921 (or 16919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11223201220 its reverse (2210232211), we get a palindrome (13433433431).

The spelling of 11223201220 in words is "eleven billion, two hundred twenty-three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 443 770 886 1540 1772 2215 3101 4430 4873 6202 8860 9746 12404 15505 16451 19492 24365 31010 32902 34111 48730 62020 65804 68222 82255 97460 115157 136444 164510 170555 180961 230314 329020 341110 361922 460628 575785 682220 723844 904805 1151570 1266727 1809610 2303140 2533454 3619220 5066908 6333635 7287793 12667270 14575586 25334540 29151172 36438965 51014551 72877930 80165723 102029102 145755860 160331446 204058204 255072755 320662892 400828615 510145510 561160061 801657230 1020291020 1122320122 1603314460 2244640244 2805800305 5611600610 11223201220