Base | Representation |
---|---|
bin | 11011000101011… |
… | …10011100100000 |
3 | 120211112022100000 |
4 | 31202232130200 |
5 | 431131110234 |
6 | 34313500000 |
7 | 5426140626 |
oct | 1542563440 |
9 | 524468300 |
10 | 227206944 |
11 | 107285a38 |
12 | 64111600 |
13 | 380c1ba3 |
14 | 22265516 |
15 | 14e30899 |
hex | d8ae720 |
227206944 has 144 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 74338560.
The previous prime is 227206933. The next prime is 227206951. The reversal of 227206944 is 449602722.
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 227206899 and 227206908.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474097 + ... + 474575.
It is an arithmetic number, because the mean of its divisors is an integer number (4739280).
Almost surely, 2227206944 is an apocalyptic number.
227206944 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 227206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).
227206944 is an abundant number, since it is smaller than the sum of its proper divisors (455249376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
227206944 is an equidigital number, since it uses as much as digits as its factorization.
227206944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 565 (or 545 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 227206944 is about 15073.3852866567. The cubic root of 227206944 is about 610.2023372488.
It can be divided in two parts, 227206 and 944, that added together give a triangular number (228150 = T675).
The spelling of 227206944 in words is "two hundred twenty-seven million, two hundred six thousand, nine hundred forty-four".
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