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22206444 = 22313283503
BaseRepresentation
bin101010010110…
…1011111101100
31112210012111220
41110231133230
521141101234
62111543340
7356515551
oct124553754
945705456
1022206444
1111598037
12752ab50
1347a6810
142d40a28
151e39a49
hex152d7ec

22206444 has 48 divisors (see below), whose sum is σ = 56109312. Its totient is φ = 6795072.

The previous prime is 22206433. The next prime is 22206449. The reversal of 22206444 is 44460222.

It is not an unprimeable number, because it can be changed into a prime (22206449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43897 + ... + 44399.

It is an arithmetic number, because the mean of its divisors is an integer number (1168944).

Almost surely, 222206444 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 22206444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28054656).

22206444 is an abundant number, since it is smaller than the sum of its proper divisors (33902868).

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

22206444 is a wasteful number, since it uses less digits than its factorization.

22206444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 22206444 is about 4712.3713775550. The cubic root of 22206444 is about 281.0776666728.

Adding to 22206444 its reverse (44460222), we get a palindrome (66666666).

The spelling of 22206444 in words is "twenty-two million, two hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 283 503 566 849 1006 1132 1509 1698 2012 3018 3396 3679 6036 6539 7358 11037 13078 14716 19617 22074 26156 39234 44148 78468 142349 284698 427047 569396 854094 1708188 1850537 3701074 5551611 7402148 11103222 22206444