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226215100 = 225219711483
BaseRepresentation
bin11010111101111…
…00010010111100
3120202122220210001
431132330102330
5430402340400
634240324044
75414540146
oct1536742274
9522586701
10226215100
11106768831
1263913624
1337b355b7
1422087c96
1514cd6a6a
hexd7bc4bc

226215100 has 36 divisors (see below), whose sum is σ = 493421544. Its totient is φ = 90018880.

The previous prime is 226215071. The next prime is 226215103. The reversal of 226215100 is 1512622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226215103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13959 + ... + 25441.

It is an arithmetic number, because the mean of its divisors is an integer number (13706154).

Almost surely, 2226215100 is an apocalyptic number.

226215100 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 226215100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246710772).

226215100 is an abundant number, since it is smaller than the sum of its proper divisors (267206444).

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

226215100 is a wasteful number, since it uses less digits than its factorization.

226215100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 226215100 is about 15040.4487964954. The cubic root of 226215100 is about 609.3131209575.

Adding to 226215100 its reverse (1512622), we get a palindrome (227727722).

The spelling of 226215100 in words is "two hundred twenty-six million, two hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 9850 11483 19700 22966 45932 57415 114830 229660 287075 574150 1148300 2262151 4524302 9048604 11310755 22621510 45243020 56553775 113107550 226215100