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22330016 = 251921933
BaseRepresentation
bin101010100101…
…1101010100000
31120000111000122
41111023222200
521204030031
62114335412
7360542042
oct125135240
946014018
1022330016
1111671965
12758a568
13481ab37
142d73a92
151e6147b
hex154baa0

22330016 has 36 divisors (see below), whose sum is σ = 46421802. Its totient is φ = 10571904.

The previous prime is 22330003. The next prime is 22330037. The reversal of 22330016 is 61003322.

It can be written as a sum of positive squares in only one way, i.e., 17472400 + 4857616 = 4180^2 + 2204^2 .

It is a super-2 number, since 2×223300162 = 997259229120512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22329976 and 22330003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10586 + ... + 12518.

Almost surely, 222330016 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 22330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23210901).

22330016 is an abundant number, since it is smaller than the sum of its proper divisors (24091786).

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

22330016 is a wasteful number, since it uses less digits than its factorization.

22330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 22330016 is about 4725.4646332398. The cubic root of 22330016 is about 281.5980726883.

Adding to 22330016 its reverse (61003322), we get a palindrome (83333338).

The spelling of 22330016 in words is "twenty-two million, three hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 1933 2888 3866 5776 7732 11552 15464 30928 36727 61856 73454 146908 293816 587632 697813 1175264 1395626 2791252 5582504 11165008 22330016