Search a number
-
+
221414112 = 2532768799
BaseRepresentation
bin11010011001010…
…00001011100000
3120102122000001200
431030220023200
5423140222422
633545401200
75325663123
oct1514501340
9512560050
10221414112
11103a89777
1262199200
1336b4428a
14215983ba
15146892ac
hexd3282e0

221414112 has 36 divisors (see below), whose sum is σ = 629647200. Its totient is φ = 73804608.

The previous prime is 221414071. The next prime is 221414129. The reversal of 221414112 is 211414122.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384112 + ... + 384687.

It is an arithmetic number, because the mean of its divisors is an integer number (17490200).

Almost surely, 2221414112 is an apocalyptic number.

It is an amenable number.

221414112 is an abundant number, since it is smaller than the sum of its proper divisors (408233088).

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

221414112 is a wasteful number, since it uses less digits than its factorization.

221414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768815 (or 768804 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 221414112 is about 14879.9903225775. The cubic root of 221414112 is about 604.9717556197.

Adding to 221414112 its reverse (211414122), we get a palindrome (432828234).

The spelling of 221414112 in words is "two hundred twenty-one million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 768799 1537598 2306397 3075196 4612794 6150392 6919191 9225588 12300784 13838382 18451176 24601568 27676764 36902352 55353528 73804704 110707056 221414112