Search a number
-
+
11233222220 = 22511892112719
BaseRepresentation
bin10100111011000110…
…10101111001001100
31001222212021210222102
422131203111321030
5141001201102340
65054354534232
7545240546003
oct123543257114
931885253872
1011233222220
114844952130
122215b97378
1310a034446c
14787c5dc3a
1545b2ac215
hex29d8d5e4c

11233222220 has 96 divisors (see below), whose sum is σ = 26156390400. Its totient is φ = 4018291200.

The previous prime is 11233222207. The next prime is 11233222267. The reversal of 11233222220 is 2222233211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11233222192 and 11233222201.

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, 4130021 + ... + 4132739.

It is an arithmetic number, because the mean of its divisors is an integer number (272462400).

Almost surely, 211233222220 is an apocalyptic number.

11233222220 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 11233222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078195200).

11233222220 is an abundant number, since it is smaller than the sum of its proper divisors (14923168180).

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

11233222220 is a wasteful number, since it uses less digits than its factorization.

11233222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11233222220 its reverse (2222233211), we get a palindrome (13455455431).

The spelling of 11233222220 in words is "eleven billion, two hundred thirty-three million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 211 220 356 422 445 844 890 979 1055 1780 1958 2110 2321 2719 3916 4220 4642 4895 5438 9284 9790 10876 11605 13595 18779 19580 23210 27190 29909 37558 46420 54380 59818 75116 93895 119636 149545 187790 206569 241991 299090 375580 413138 483982 573709 598180 826276 967964 1032845 1147418 1209955 2065690 2294836 2419910 2661901 2868545 4131380 4839820 5323802 5737090 6310799 10647604 11474180 12621598 13309505 25243196 26619010 31553995 51060101 53238020 63107990 102120202 126215980 204240404 255300505 510601010 561661111 1021202020 1123322222 2246644444 2808305555 5616611110 11233222220