Search a number
-
+
226116660 = 2235711172879
BaseRepresentation
bin11010111101001…
…00010000110100
3120202110220202010
431132210100310
5430341213120
634234244220
75413650150
oct1536442064
9522426663
10226116660
11106700880
1263886670
1337acc853
1422060060
1514cb77e0
hexd7a4434

226116660 has 192 divisors, whose sum is σ = 836075520. Its totient is φ = 44206080.

The previous prime is 226116647. The next prime is 226116713. The reversal of 226116660 is 66611622.

It is a super-2 number, since 2×2261166602 = 102257487859111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 77101 + ... + 79979.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2226116660 is an apocalyptic number.

226116660 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 226116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

226116660 is an abundant number, since it is smaller than the sum of its proper divisors (609958860).

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

226116660 is a wasteful number, since it uses less digits than its factorization.

226116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 226116660 is about 15037.1759316701. The cubic root of 226116660 is about 609.2247250221.

It can be divided in two parts, 226 and 116660, that added together give a triangular number (116886 = T483).

The spelling of 226116660 in words is "two hundred twenty-six million, one hundred sixteen thousand, six hundred sixty".