Search a number
-
+
22334080 = 27534897
BaseRepresentation
bin101010100110…
…0101010000000
31120000200121011
41111030222000
521204142310
62114410304
7360556636
oct125145200
946020534
1022334080
1111674a1a
127590994
13481c942
142d75356
151e6278a
hex154ca80

22334080 has 32 divisors (see below), whose sum is σ = 53393940. Its totient is φ = 8933376.

The previous prime is 22334069. The next prime is 22334083. The reversal of 22334080 is 8043322.

It can be written as a sum of positive squares in 2 ways, for example, as 19430464 + 2903616 = 4408^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×223340802 = 997622258892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22334083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16809 + ... + 18088.

Almost surely, 222334080 is an apocalyptic number.

22334080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22334080 is an abundant number, since it is smaller than the sum of its proper divisors (31059860).

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

22334080 is an equidigital number, since it uses as much as digits as its factorization.

22334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34916 (or 34904 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 22334080 is about 4725.8946243013. The cubic root of 22334080 is about 281.6151550039.

The spelling of 22334080 in words is "twenty-two million, three hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34897 69794 139588 174485 279176 348970 558352 697940 1116704 1395880 2233408 2791760 4466816 5583520 11167040 22334080