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22230312 = 23313431657
BaseRepresentation
bin101010011001…
…1010100101000
31112211102020220
41110303110220
521142332222
62112250040
7356645256
oct124632450
945742226
1022230312
1111603a65
127540920
1347b4640
142d495d6
151e41b5c
hex1533528

22230312 has 64 divisors (see below), whose sum is σ = 61279680. Its totient is φ = 6676992.

The previous prime is 22230311. The next prime is 22230343. The reversal of 22230312 is 21303222.

It is a junction number, because it is equal to n+sod(n) for n = 22230291 and 22230300.

It is not an unprimeable number, because it can be changed into a prime (22230311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12588 + ... + 14244.

It is an arithmetic number, because the mean of its divisors is an integer number (957495).

Almost surely, 222230312 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 22230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30639840).

22230312 is an abundant number, since it is smaller than the sum of its proper divisors (39049368).

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

22230312 is a wasteful number, since it uses less digits than its factorization.

22230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22230312 is about 4714.9031803421. The cubic root of 22230312 is about 281.1783335424.

Adding to 22230312 its reverse (21303222), we get a palindrome (43533534).

The spelling of 22230312 in words is "twenty-two million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1657 1677 2236 3314 3354 4472 4971 6628 6708 9942 13256 13416 19884 21541 39768 43082 64623 71251 86164 129246 142502 172328 213753 258492 285004 427506 516984 570008 855012 926263 1710024 1852526 2778789 3705052 5557578 7410104 11115156 22230312