Search a number
-
+
226240224 = 2537336667
BaseRepresentation
bin11010111110000…
…10011011100000
3120202201012020120
431133002123200
5430404141344
634241040240
75415003330
oct1537023340
9522635216
10226240224
111067856a1
1263926080
1337b43b72
14220930c0
1514cde219
hexd7c26e0

226240224 has 48 divisors (see below), whose sum is σ = 678722688. Its totient is φ = 64639872.

The previous prime is 226240207. The next prime is 226240247. The reversal of 226240224 is 422042622.

226240224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 226240194 and 226240203.

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, 167662 + ... + 169005.

It is an arithmetic number, because the mean of its divisors is an integer number (14140056).

Almost surely, 2226240224 is an apocalyptic number.

226240224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226240224 is an abundant number, since it is smaller than the sum of its proper divisors (452482464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226240224 is a wasteful number, since it uses less digits than its factorization.

226240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336687 (or 336679 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 226240224 is about 15041.2839877452. The cubic root of 226240224 is about 609.3356773890.

Adding to 226240224 its reverse (422042622), we get a palindrome (648282846).

It can be divided in two parts, 2262 and 40224, that added together give a triangular number (42486 = T291).

The spelling of 226240224 in words is "two hundred twenty-six million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 336667 673334 1010001 1346668 2020002 2356669 2693336 4040004 4713338 5386672 7070007 8080008 9426676 10773344 14140014 16160016 18853352 28280028 32320032 37706704 56560056 75413408 113120112 226240224