Search a number
-
+
226221112 = 231329107701
BaseRepresentation
bin11010111101111…
…01110000111000
3120202200020000201
431132331300320
5430403033422
634240411544
75414563525
oct1536756070
9522606021
10226221112
111067722a7
1263916bb4
1337b38260
142208a14c
1514cd8727
hexd7bdc38

226221112 has 64 divisors (see below), whose sum is σ = 477640800. Its totient is φ = 99724800.

The previous prime is 226221101. The next prime is 226221137. The reversal of 226221112 is 211122622.

It is a self number, because there is not a number n which added to its sum of digits gives 226221112.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 322362 + ... + 323062.

Almost surely, 2226221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

226221112 is an abundant number, since it is smaller than the sum of its proper divisors (251419688).

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

226221112 is a wasteful number, since it uses less digits than its factorization.

226221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 226221112 is about 15040.6486562249. The cubic root of 226221112 is about 609.3185187081.

Adding to 226221112 its reverse (211122622), we get a palindrome (437343734).

The spelling of 226221112 in words is "two hundred twenty-six million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 104 107 116 214 232 377 428 701 754 856 1391 1402 1508 2782 2804 3016 3103 5564 5608 6206 9113 11128 12412 18226 20329 24824 36452 40339 40658 72904 75007 80678 81316 150014 161356 162632 264277 300028 322712 528554 600056 975091 1057108 1950182 2114216 2175203 3900364 4350406 7800728 8700812 17401624 28277639 56555278 113110556 226221112