Base | Representation |
---|---|
bin | 11010111110010… |
… | …11010101100000 |
3 | 120202210001021200 |
4 | 31133023111200 |
5 | 430411323304 |
6 | 34241521200 |
7 | 5415214563 |
oct | 1537132540 |
9 | 522701250 |
10 | 226276704 |
11 | 106800045 |
12 | 63943200 |
13 | 37b57654 |
14 | 220a24da |
15 | 14ce9e39 |
hex | d7cb560 |
226276704 has 72 divisors (see below), whose sum is σ = 659203272. Its totient is φ = 73582080.
The previous prime is 226276667. The next prime is 226276709. The reversal of 226276704 is 407672622.
226276704 is a `hidden beast` number, since 22 + 627 + 6 + 7 + 0 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×2262767042 = 102402293546207232, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226276709) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2227 + ... + 21389.
It is an arithmetic number, because the mean of its divisors is an integer number (9155601).
Almost surely, 2226276704 is an apocalyptic number.
226276704 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 226276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329601636).
226276704 is an abundant number, since it is smaller than the sum of its proper divisors (432926568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226276704 is a wasteful number, since it uses less digits than its factorization.
226276704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19220 (or 19209 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
The square root of 226276704 is about 15042.4966012959. The cubic root of 226276704 is about 609.3684263117.
It can be divided in two parts, 22 and 6276704, that added together give a palindrome (6276726).
The spelling of 226276704 in words is "two hundred twenty-six million, two hundred seventy-six thousand, seven hundred four".
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