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22224114 = 232111071049
BaseRepresentation
bin101010011000…
…1110011110010
31112211002202100
41110301303302
521142132424
62112201230
7356621223
oct124616362
945732670
1022224114
11115aa340
127539216
1347b1883
142d4724a
151e3edc9
hex1531cf2

22224114 has 48 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 6665280.

The previous prime is 22224113. The next prime is 22224131. The reversal of 22224114 is 41142222.

It is a super-2 number, since 2×222241142 = 987822486169992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22224113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20662 + ... + 21710.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 222224114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

22224114 is an abundant number, since it is smaller than the sum of its proper divisors (30847086).

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

22224114 is a wasteful number, since it uses less digits than its factorization.

22224114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1172 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22224114 is about 4714.2458569744. The cubic root of 22224114 is about 281.1521994767.

Adding to 22224114 its reverse (41142222), we get a palindrome (63366336).

It can be divided in two parts, 2222 and 4114, that added together give a palindrome (6336).

The spelling of 22224114 in words is "twenty-two million, two hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1049 1177 1926 2098 2354 3147 3531 6294 7062 9441 10593 11539 18882 21186 23078 34617 69234 103851 112243 207702 224486 336729 673458 1010187 1234673 2020374 2469346 3704019 7408038 11112057 22224114