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22188033 = 337231541
BaseRepresentation
bin101010010100…
…1000000000001
31112202021021000
41110221000001
521140004113
62111322213
7356411100
oct124510001
945667230
1022188033
111158521a
127520369
13479b31a
142d38037
151e34373
hex1529001

22188033 has 48 divisors (see below), whose sum is σ = 39544320. Its totient is φ = 12247200.

The previous prime is 22188007. The next prime is 22188053. The reversal of 22188033 is 33088122.

It is not a de Polignac number, because 22188033 - 26 = 22187969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22187988 and 22188006.

It is not an unprimeable number, because it can be changed into a prime (22188053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40743 + ... + 41283.

It is an arithmetic number, because the mean of its divisors is an integer number (823840).

Almost surely, 222188033 is an apocalyptic number.

It is an amenable number.

22188033 is a deficient number, since it is larger than the sum of its proper divisors (17356287).

22188033 is a wasteful number, since it uses less digits than its factorization.

22188033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22188033 is about 4710.4174974199. The cubic root of 22188033 is about 280.9999662280. Note that the first 4 decimals are identical.

The spelling of 22188033 in words is "twenty-two million, one hundred eighty-eight thousand, thirty-three".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 279 441 541 651 837 1323 1519 1623 1953 3787 4557 4869 5859 11361 13671 14607 16771 26509 34083 41013 50313 79527 102249 117397 150939 238581 352191 452817 715743 821779 1056573 2465337 3169719 7396011 22188033