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1100221220 = 225719439619
BaseRepresentation
bin100000110010100…
…0000101100100100
32211200021000210002
41001211000230210
54223124034340
6301101320432
736156504020
oct10145005444
92750230702
101100221220
1151505653a
12268566118
13146c2a597
14a6199380
15668cb715
hex41940b24

1100221220 has 96 divisors (see below), whose sum is σ = 2844441600. Its totient is φ = 349017984.

The previous prime is 1100221219. The next prime is 1100221319. The reversal of 1100221220 is 221220011.

It is a happy number.

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, 109571 + ... + 119189.

It is an arithmetic number, because the mean of its divisors is an integer number (29629600).

Almost surely, 21100221220 is an apocalyptic number.

1100221220 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 1100221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422220800).

1100221220 is an abundant number, since it is smaller than the sum of its proper divisors (1744220380).

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

1100221220 is a wasteful number, since it uses less digits than its factorization.

1100221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1100221220 is about 33169.5827528777. The cubic root of 1100221220 is about 1032.3493111231.

Adding to 1100221220 its reverse (221220011), we get a palindrome (1321441231).

The spelling of 1100221220 in words is "one billion, one hundred million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 70 76 86 95 133 140 172 190 215 266 301 380 430 532 602 665 817 860 1204 1330 1505 1634 2660 3010 3268 4085 5719 6020 8170 9619 11438 16340 19238 22876 28595 38476 48095 57190 67333 96190 114380 134666 182761 192380 269332 336665 365522 413617 673330 731044 827234 913805 1279327 1346660 1654468 1827610 2068085 2558654 2895319 3655220 4136170 5117308 5790638 6396635 7858723 8272340 11581276 12793270 14476595 15717446 25586540 28953190 31434892 39293615 55011061 57906380 78587230 110022122 157174460 220044244 275055305 550110610 1100221220