Base | Representation |
---|---|
bin | 10100110001111101… |
… | …011101100111010000 |
3 | 2010121000220110211221 |
4 | 110301331131213100 |
5 | 331144114012034 |
6 | 14130033414424 |
7 | 1416636433564 |
oct | 246175354720 |
9 | 63530813757 |
10 | 22313032144 |
11 | 9510141337 |
12 | 43a870a414 |
13 | 2147963800 |
14 | 11195876a4 |
15 | 8a8d63bb4 |
hex | 531f5d9d0 |
22313032144 has 60 divisors (see below), whose sum is σ = 46860681900. Its totient is φ = 10287793152.
The previous prime is 22313032141. The next prime is 22313032207. The reversal of 22313032144 is 44123031322.
It can be written as a sum of positive squares in 6 ways, for example, as 8486094400 + 13826937744 = 92120^2 + 117588^2 .
It is a super-3 number, since 3×223130321443 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22313032141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3049162 + ... + 3056470.
It is an arithmetic number, because the mean of its divisors is an integer number (781011365).
Almost surely, 222313032144 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 22313032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430340950).
22313032144 is an abundant number, since it is smaller than the sum of its proper divisors (24547649756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22313032144 is a wasteful number, since it uses less digits than its factorization.
22313032144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8472 (or 8453 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 25.
Adding to 22313032144 its reverse (44123031322), we get a palindrome (66436063466).
The spelling of 22313032144 in words is "twenty-two billion, three hundred thirteen million, thirty-two thousand, one hundred forty-four".
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