Base | Representation |
---|---|
bin | 101010100010… |
… | …1100100000000 |
3 | 1112222012202000 |
4 | 1111011210000 |
5 | 21202230044 |
6 | 2114024000 |
7 | 360406140 |
oct | 125054400 |
9 | 45865660 |
10 | 22305024 |
11 | 11655105 |
12 | 7578000 |
13 | 480c651 |
14 | 2d68920 |
15 | 1e58d69 |
hex | 1545900 |
22305024 has 144 divisors (see below), whose sum is σ = 75546240. Its totient is φ = 6359040.
The previous prime is 22305007. The next prime is 22305047. The reversal of 22305024 is 42050322.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22304988 and 22305006.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48154 + ... + 48614.
Almost surely, 222305024 is an apocalyptic number.
22305024 is a gapful number since it is divisible by the number (24) 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 22305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37773120).
22305024 is an abundant number, since it is smaller than the sum of its proper divisors (53241216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22305024 is an equidigital number, since it uses as much as digits as its factorization.
22305024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 493 (or 473 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 22305024 is about 4722.8194968684. The cubic root of 22305024 is about 281.4929775818.
Adding to 22305024 its reverse (42050322), we get a palindrome (64355346).
The spelling of 22305024 in words is "twenty-two million, three hundred five thousand, twenty-four".
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