Search a number
-
+
22000002220 = 22574127114143
BaseRepresentation
bin10100011111010011…
…010110010010101100
32002210012212220112001
4110133103112102230
5330024000032340
614035012222044
71406115635110
oct243723262254
962705786461
1022000002220
11936a478319
12431b90a924
1320c7b52cc1
1410c9b81740
1588b62e29a
hex51f4d64ac

22000002220 has 96 divisors (see below), whose sum is σ = 54291234816. Its totient is φ = 7331212800.

The previous prime is 22000002203. The next prime is 22000002287. The reversal of 22000002220 is 2220000022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22000002197 and 22000002206.

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, 1548469 + ... + 1562611.

It is an arithmetic number, because the mean of its divisors is an integer number (565533696).

Almost surely, 222000002220 is an apocalyptic number.

22000002220 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 22000002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27145617408).

22000002220 is an abundant number, since it is smaller than the sum of its proper divisors (32291232596).

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

22000002220 is a wasteful number, since it uses less digits than its factorization.

22000002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14471 (or 14469 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22000002220 its reverse (2220000022), we get a palindrome (24220002242).

The spelling of 22000002220 in words is "twenty-two billion, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 271 287 410 542 574 820 1084 1148 1355 1435 1897 2710 2870 3794 5420 5740 7588 9485 11111 14143 18970 22222 28286 37940 44444 55555 56572 70715 77777 99001 111110 141430 155554 198002 222220 282860 311108 388885 396004 495005 579863 777770 990010 1159726 1555540 1980020 2319452 2899315 3832753 4059041 5798630 7665506 8118082 11597260 15331012 16236164 19163765 20295205 26829271 38327530 40590410 53658542 76655060 81180820 107317084 134146355 157142873 268292710 314285746 536585420 628571492 785714365 1100000111 1571428730 2200000222 3142857460 4400000444 5500000555 11000001110 22000002220