Base | Representation |
---|---|
bin | 10100110010011100… |
… | …101011001111100000 |
3 | 2010121121022011211122 |
4 | 110302130223033200 |
5 | 331203212330212 |
6 | 14130525031412 |
7 | 1420066122626 |
oct | 246234531740 |
9 | 63547264748 |
10 | 22321214432 |
11 | 951481a860 |
12 | 43ab3b5568 |
13 | 2149569bba |
14 | 111a6b7516 |
15 | 8a992d272 |
hex | 53272b3e0 |
22321214432 has 96 divisors (see below), whose sum is σ = 51089439744. Its totient is φ = 9498227200.
The previous prime is 22321214431. The next prime is 22321214483. The reversal of 22321214432 is 23441212322.
It is a super-3 number, since 3×223212144323 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22321214431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351182 + ... + 409842.
It is an arithmetic number, because the mean of its divisors is an integer number (532181664).
Almost surely, 222321214432 is an apocalyptic number.
22321214432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22321214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544719872).
22321214432 is an abundant number, since it is smaller than the sum of its proper divisors (28768225312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22321214432 is a wasteful number, since it uses less digits than its factorization.
22321214432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58752 (or 58744 counting only the distinct ones).
The product of its digits is 4608, while the sum is 26.
Adding to 22321214432 its reverse (23441212322), we get a palindrome (45762426754).
The spelling of 22321214432 in words is "twenty-two billion, three hundred twenty-one million, two hundred fourteen thousand, four hundred thirty-two".
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