Search a number
-
+
22102101222220 = 22519895939110039
BaseRepresentation
bin1010000011010000010111…
…11001000110001101001100
32220020221101102202211212201
411001220023321012031030
510344110100403102340
6115001322022411244
74440552446422525
oct501501371061514
986227342684781
1022102101222220
1170514a2a37308
12258b650b90b24
13c442b0782aa6
14565a66c5584c
15284dd67a779a
hex141a0be4634c

22102101222220 has 96 divisors (see below), whose sum is σ = 49415002560000. Its totient is φ = 8279956320768.

The previous prime is 22102101222217. The next prime is 22102101222281. The reversal of 22102101222220 is 2222210120122.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200801961 + ... + 200911999.

It is an arithmetic number, because the mean of its divisors is an integer number (514739610000).

Almost surely, 222102101222220 is an apocalyptic number.

22102101222220 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 22102101222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24707501280000).

22102101222220 is an abundant number, since it is smaller than the sum of its proper divisors (27312901337780).

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

22102101222220 is a wasteful number, since it uses less digits than its factorization.

22102101222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116095 (or 116093 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22102101222220 its reverse (2222210120122), we get a palindrome (24324311342342).

The spelling of 22102101222220 in words is "twenty-two trillion, one hundred two billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1691 1780 3382 5939 6764 8455 11878 16910 23756 29695 33820 59390 110039 112841 118780 220078 225682 440156 451364 528571 550195 564205 1057142 1100390 1128410 2090741 2114284 2200780 2256820 2642855 4181482 5285710 8362964 9793471 10042849 10453705 10571420 19586942 20085698 20907410 39173884 40171396 41814820 48967355 50214245 97934710 100428490 186075949 195869420 200856980 372151898 653521621 744303796 930379745 1307043242 1860759490 2614086484 3267608105 3721518980 6535216210 12416910799 13070432420 24833821598 49667643196 58163424269 62084553995 116326848538 124169107990 232653697076 248338215980 290817121345 581634242690 1105105061111 1163268485380 2210210122222 4420420244444 5525525305555 11051050611110 22102101222220