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22412096 = 267192633
BaseRepresentation
bin101010101111…
…1101101000000
31120011122121122
41111133231000
521214141341
62120211412
7361333250
oct125375500
946148548
1022412096
11117185a3
127609b68
1348492c5
142d95960
151e7a94b
hex155fb40

22412096 has 56 divisors (see below), whose sum is σ = 53522880. Its totient is φ = 9096192.

The previous prime is 22412087. The next prime is 22412107. The reversal of 22412096 is 69021422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×224120962 = 1004604094226432, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7196 + ... + 9828.

Almost surely, 222412096 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 22412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26761440).

22412096 is an abundant number, since it is smaller than the sum of its proper divisors (31110784).

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

22412096 is a wasteful number, since it uses less digits than its factorization.

22412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 22412096 is about 4734.1415272465. The cubic root of 22412096 is about 281.9426807029.

The spelling of 22412096 in words is "twenty-two million, four hundred twelve thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 2633 4256 5266 8512 10532 18431 21064 36862 42128 50027 73724 84256 100054 147448 168512 200108 294896 350189 400216 589792 700378 800432 1179584 1400756 1600864 2801512 3201728 5603024 11206048 22412096