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22104516 = 2237793331
BaseRepresentation
bin101010001010…
…0100111000100
31112121000200210
41110110213010
521124321031
62105435420
7355612440
oct124244704
945530623
1022104516
11115284a5
12749bb70
13476c2c5
142d15820
151e19746
hex15149c4

22104516 has 48 divisors (see below), whose sum is σ = 59709440. Its totient is φ = 6233760.

The previous prime is 22104491. The next prime is 22104517. The reversal of 22104516 is 61540122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22104492 and 22104501.

It is not an unprimeable number, because it can be changed into a prime (22104517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4971 + ... + 8301.

Almost surely, 222104516 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 22104516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29854720).

22104516 is an abundant number, since it is smaller than the sum of its proper divisors (37604924).

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

22104516 is a wasteful number, since it uses less digits than its factorization.

22104516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 22104516 is about 4701.5440017084. The cubic root of 22104516 is about 280.6469563990.

Adding to 22104516 its reverse (61540122), we get a palindrome (83644638).

The spelling of 22104516 in words is "twenty-two million, one hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 3331 6636 6662 9993 13324 19986 23317 39972 46634 69951 93268 139902 263149 279804 526298 789447 1052596 1578894 1842043 3157788 3684086 5526129 7368172 11052258 22104516