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22327124 = 22411091249
BaseRepresentation
bin101010100101…
…0111101010100
31120000100001112
41111022331110
521203431444
62114314152
7360530441
oct125127524
946010045
1022327124
111166a776
127588958
134819721
142d729c8
151e6069e
hex154af54

22327124 has 24 divisors (see below), whose sum is σ = 40425000. Its totient is φ = 10782720.

The previous prime is 22327121. The next prime is 22327133. The reversal of 22327124 is 42172322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 611524 + 21715600 = 782^2 + 4660^2 .

It is a super-3 number, since 3×223271243 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22327124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22327121) 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 7 ways as a sum of consecutive naturals, for example, 17252 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (1684375).

Almost surely, 222327124 is an apocalyptic number.

It is an amenable number.

22327124 is a deficient number, since it is larger than the sum of its proper divisors (18097876).

22327124 is a wasteful number, since it uses less digits than its factorization.

22327124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1401 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 22327124 is about 4725.1586216761. The cubic root of 22327124 is about 281.5859154080.

Adding to 22327124 its reverse (42172322), we get a palindrome (64499446).

The spelling of 22327124 in words is "twenty-two million, three hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 41 82 109 164 218 436 1249 2498 4469 4996 8938 17876 51209 102418 136141 204836 272282 544564 5581781 11163562 22327124