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22110116 = 2274753317
BaseRepresentation
bin101010001010…
…1111110100100
31112121022101012
41110111332210
521130010431
62105521352
7355634660
oct124257644
945538335
1022110116
1111531726
1274a3258
134771a12
142d178a0
151e1b22b
hex1515fa4

22110116 has 48 divisors (see below), whose sum is σ = 46158336. Its totient is φ = 9070464.

The previous prime is 22110103. The next prime is 22110139. The reversal of 22110116 is 61101122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 22110116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69590 + ... + 69906.

It is an arithmetic number, because the mean of its divisors is an integer number (961632).

Almost surely, 222110116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079168).

22110116 is an abundant number, since it is smaller than the sum of its proper divisors (24048220).

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

22110116 is a wasteful number, since it uses less digits than its factorization.

22110116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 22110116 is about 4702.1395130302. The cubic root of 22110116 is about 280.6706542753.

Adding to 22110116 its reverse (61101122), we get a palindrome (83211238).

The spelling of 22110116 in words is "twenty-two million, one hundred ten thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 47 53 94 106 188 212 317 329 371 634 658 742 1268 1316 1484 2219 2491 4438 4982 8876 9964 14899 16801 17437 29798 33602 34874 59596 67204 69748 104293 117607 208586 235214 417172 470428 789647 1579294 3158588 5527529 11055058 22110116