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226342116 = 2232711213571
BaseRepresentation
bin11010111110110…
…11010011100100
3120202220101000100
431133123103210
5430420421431
634243144100
75415606360
oct1537332344
9522811010
10226342116
11106845200
1263975030
1337b7b360
14220bc2a0
1514d0e4e6
hexd7db4e4

226342116 has 216 divisors, whose sum is σ = 775366592. Its totient is φ = 54172800.

The previous prime is 226342093. The next prime is 226342141. The reversal of 226342116 is 611243622.

226342116 is a `hidden beast` number, since 2 + 2 + 634 + 21 + 1 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226342116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 396111 + ... + 396681.

Almost surely, 2226342116 is an apocalyptic number.

226342116 is a gapful number since it is divisible by the number (26) 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 226342116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387683296).

226342116 is an abundant number, since it is smaller than the sum of its proper divisors (549024476).

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

226342116 is a wasteful number, since it uses less digits than its factorization.

226342116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 226342116 is about 15044.6706843320. The cubic root of 226342116 is about 609.4271393336.

Adding to 226342116 its reverse (611243622), we get a palindrome (837585738).

The spelling of 226342116 in words is "two hundred twenty-six million, three hundred forty-two thousand, one hundred sixteen".