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22014208 = 28113761
BaseRepresentation
bin101001111111…
…0100100000000
31112102102211001
41103332210000
521113423313
62103501344
7355055236
oct123764400
945372731
1022014208
1111476667
127457854
13473a178
142cd0956
151decadd
hex14fe900

22014208 has 36 divisors (see below), whose sum is σ = 44389548. Its totient is φ = 10895360.

The previous prime is 22014193. The next prime is 22014211. The reversal of 22014208 is 80241022.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 21827584 = 432^2 + 4672^2 .

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 3 ways as a sum of consecutive naturals, for example, 28548 + ... + 29308.

It is an arithmetic number, because the mean of its divisors is an integer number (1233043).

Almost surely, 222014208 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 22014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194774).

22014208 is an abundant number, since it is smaller than the sum of its proper divisors (22375340).

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

22014208 is an equidigital number, since it uses as much as digits as its factorization.

22014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 22014208 is about 4691.9300932559. The cubic root of 22014208 is about 280.2642403498.

It can be divided in two parts, 22014 and 208, that added together give a palindrome (22222).

The spelling of 22014208 in words is "twenty-two million, fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 761 904 1522 1808 3044 3616 6088 7232 12176 14464 24352 28928 48704 85993 97408 171986 194816 343972 687944 1375888 2751776 5503552 11007104 22014208