Base | Representation |
---|---|
bin | 11010110101011… |
… | …01010000101100 |
3 | 120200120111221000 |
4 | 31122231100230 |
5 | 430111324230 |
6 | 34200440300 |
7 | 5402234424 |
oct | 1532552054 |
9 | 520514830 |
10 | 225104940 |
11 | 10607a745 |
12 | 63479090 |
13 | 378371b8 |
14 | 21c79484 |
15 | 14b67b60 |
hex | d6ad42c |
225104940 has 96 divisors (see below), whose sum is σ = 705600000. Its totient is φ = 59576256.
The previous prime is 225104909. The next prime is 225104963. The reversal of 225104940 is 49401522.
225104940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73561 + ... + 76559.
It is an arithmetic number, because the mean of its divisors is an integer number (7350000).
Almost surely, 2225104940 is an apocalyptic number.
225104940 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 225104940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800000).
225104940 is an abundant number, since it is smaller than the sum of its proper divisors (480495060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225104940 is a wasteful number, since it uses less digits than its factorization.
225104940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 225104940 is about 15003.4975922283. The cubic root of 225104940 is about 608.3147428276.
The spelling of 225104940 in words is "two hundred twenty-five million, one hundred four thousand, nine hundred forty".
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