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22330566 = 234307449
BaseRepresentation
bin101010100101…
…1110011000110
31120000111210000
41111023303012
521204034231
62114342130
7360543456
oct125136306
946014700
1022330566
1111672315
12758a946
13481b16b
142d73d66
151e616e6
hex154bcc6

22330566 has 40 divisors (see below), whose sum is σ = 50311800. Its totient is φ = 7402752.

The previous prime is 22330559. The next prime is 22330577. The reversal of 22330566 is 66503322.

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

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 19 ways as a sum of consecutive naturals, for example, 49510 + ... + 49958.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795).

Almost surely, 222330566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155900).

22330566 is an abundant number, since it is smaller than the sum of its proper divisors (27981234).

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

22330566 is a wasteful number, since it uses less digits than its factorization.

22330566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 22330566 is about 4725.5228282170. The cubic root of 22330566 is about 281.6003846387.

Adding to 22330566 its reverse (66503322), we get a palindrome (88833888).

The spelling of 22330566 in words is "twenty-two million, three hundred thirty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 307 449 614 898 921 1347 1842 2694 2763 4041 5526 8082 8289 12123 16578 24246 24867 36369 49734 72738 137843 275686 413529 827058 1240587 2481174 3721761 7443522 11165283 22330566