Base | Representation |
---|---|
bin | 1000010010010111… |
… | …1000001100010000 |
3 | 12202000211102111201 |
4 | 2010211320030100 |
5 | 14023434201000 |
6 | 1004423120544 |
7 | 106061060611 |
oct | 20445701420 |
9 | 5660742451 |
10 | 2224522000 |
11 | a41759338 |
12 | 520ba3154 |
13 | 295b3910c |
14 | 171621c08 |
15 | d046296a |
hex | 84978310 |
2224522000 has 80 divisors (see below), whose sum is σ = 5397904512. Its totient is φ = 886665600.
The previous prime is 2224521977. The next prime is 2224522021. The reversal of 2224522000 is 2254222.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
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, 612189 + ... + 615811.
Almost surely, 22224522000 is an apocalyptic number.
2224522000 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 2224522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698952256).
2224522000 is an abundant number, since it is smaller than the sum of its proper divisors (3173382512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2224522000 is a wasteful number, since it uses less digits than its factorization.
2224522000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3953 (or 3937 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 19.
The square root of 2224522000 is about 47164.8385982609. The cubic root of 2224522000 is about 1305.4058914667.
Adding to 2224522000 its reverse (2254222), we get a palindrome (2226776222).
The spelling of 2224522000 in words is "two billion, two hundred twenty-four million, five hundred twenty-two thousand".
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