Base | Representation |
---|---|
bin | 10100110110100101… |
… | …110101001110000100 |
3 | 2010210110002121022002 |
4 | 110312211311032010 |
5 | 331324011122320 |
6 | 14141450524432 |
7 | 1421602003100 |
oct | 246645651604 |
9 | 63713077262 |
10 | 22390723460 |
11 | 954aa85a36 |
12 | 440a736718 |
13 | 215aa960c1 |
14 | 1125a0c900 |
15 | 8b0aad675 |
hex | 536975384 |
22390723460 has 144 divisors (see below), whose sum is σ = 58029927984. Its totient is φ = 7210893312.
The previous prime is 22390723349. The next prime is 22390723463. The reversal of 22390723460 is 6432709322.
It can be written as a sum of positive squares in 8 ways, for example, as 2281781824 + 20108941636 = 47768^2 + 141806^2 .
It is not an unprimeable number, because it can be changed into a prime (22390723463) 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 47 ways as a sum of consecutive naturals, for example, 11211182 + ... + 11213178.
It is an arithmetic number, because the mean of its divisors is an integer number (402985611).
Almost surely, 222390723460 is an apocalyptic number.
22390723460 is a gapful number since it is divisible by the number (20) 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 22390723460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29014963992).
22390723460 is an abundant number, since it is smaller than the sum of its proper divisors (35639204524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22390723460 is a wasteful number, since it uses less digits than its factorization.
22390723460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2710 (or 2701 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 38.
The spelling of 22390723460 in words is "twenty-two billion, three hundred ninety million, seven hundred twenty-three thousand, four hundred sixty".
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