Search a number
-
+
226116648 = 233222314083
BaseRepresentation
bin11010111101001…
…00010000101000
3120202110220201200
431132210100220
5430341213043
634234244200
75413650132
oct1536442050
9522426650
10226116648
1110670086a
1263886660
1337acc844
1422060052
1514cb77d3
hexd7a4428

226116648 has 48 divisors (see below), whose sum is σ = 615189120. Its totient is φ = 75028896.

The previous prime is 226116647. The next prime is 226116713. The reversal of 226116648 is 846611622.

226116648 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 1 + 6 + 648 = 666.

It is a super-2 number, since 2×2261166482 = 102257477005511808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226116647) 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, 9015 + ... + 23097.

It is an arithmetic number, because the mean of its divisors is an integer number (12816440).

Almost surely, 2226116648 is an apocalyptic number.

It is an amenable number.

226116648 is an abundant number, since it is smaller than the sum of its proper divisors (389072472).

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

226116648 is a wasteful number, since it uses less digits than its factorization.

226116648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14318 (or 14311 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 226116648 is about 15037.1755326591. The cubic root of 226116648 is about 609.2247142449.

The spelling of 226116648 in words is "two hundred twenty-six million, one hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5352 8028 14083 16056 28166 42249 56332 84498 112664 126747 168996 253494 337992 506988 1013976 3140509 6281018 9421527 12562036 18843054 25124072 28264581 37686108 56529162 75372216 113058324 226116648