Base | Representation |
---|---|
bin | 11010111100000… |
… | …10011001111000 |
3 | 120202012212111200 |
4 | 31132002121320 |
5 | 430322243401 |
6 | 34231254200 |
7 | 5412531630 |
oct | 1536023170 |
9 | 522185450 |
10 | 225977976 |
11 | 106616664 |
12 | 6381a360 |
13 | 37a816a3 |
14 | 220256c0 |
15 | 14c8b686 |
hex | d782678 |
225977976 has 96 divisors (see below), whose sum is σ = 723621600. Its totient is φ = 62334720.
The previous prime is 225977971. The next prime is 225978007. The reversal of 225977976 is 679779522.
225977976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225977971) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6886 + ... + 22346.
It is an arithmetic number, because the mean of its divisors is an integer number (7537725).
Almost surely, 2225977976 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 225977976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361810800).
225977976 is an abundant number, since it is smaller than the sum of its proper divisors (497643624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225977976 is a wasteful number, since it uses less digits than its factorization.
225977976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15509 (or 15502 counting only the distinct ones).
The product of its digits is 3333960, while the sum is 54.
The square root of 225977976 is about 15032.5638531822. The cubic root of 225977976 is about 609.1001477338.
The spelling of 225977976 in words is "two hundred twenty-five million, nine hundred seventy-seven thousand, nine hundred seventy-six".
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