Base | Representation |
---|---|
bin | 11010110100110… |
… | …01001101000000 |
3 | 120200102100020012 |
4 | 31122121031000 |
5 | 430101212114 |
6 | 34155004052 |
7 | 5401443050 |
oct | 1532311500 |
9 | 520370205 |
10 | 225022784 |
11 | 106023a48 |
12 | 63439628 |
13 | 3780899c |
14 | 21c57560 |
15 | 14b4d63e |
hex | d699340 |
225022784 has 56 divisors (see below), whose sum is σ = 522232128. Its totient is φ = 94187520.
The previous prime is 225022729. The next prime is 225022817. The reversal of 225022784 is 487220522.
It is a tau number, because it is divible by the number of its divisors (56).
It is a super-2 number, since 2×2250227842 = 101270506638221312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 225022784.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13424 + ... + 25104.
Almost surely, 2225022784 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 225022784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261116064).
225022784 is an abundant number, since it is smaller than the sum of its proper divisors (297209344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225022784 is a wasteful number, since it uses less digits than its factorization.
225022784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11743 (or 11733 counting only the distinct ones).
The product of its (nonzero) digits is 17920, while the sum is 32.
The square root of 225022784 is about 15000.7594474413. The cubic root of 225022784 is about 608.2407287741.
The spelling of 225022784 in words is "two hundred twenty-five million, twenty-two thousand, seven hundred eighty-four".
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