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221113300 = 225214811493
BaseRepresentation
bin11010010110111…
…10101111010100
3120102001201102111
431023132233110
5423101111200
633535120404
75323301122
oct1513365724
9512051374
10221113300
111038a3771
1262073104
1336a6a395
142151a912
151462a0ba
hexd2debd4

221113300 has 36 divisors (see below), whose sum is σ = 480461436. Its totient is φ = 88326400.

The previous prime is 221113273. The next prime is 221113301. The reversal of 221113300 is 3311122.

It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 220879044 = 484^2 + 14862^2 .

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221113301) 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, 147354 + ... + 148846.

It is an arithmetic number, because the mean of its divisors is an integer number (13346151).

Almost surely, 2221113300 is an apocalyptic number.

221113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221113300 is an abundant number, since it is smaller than the sum of its proper divisors (259348136).

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

221113300 is a wasteful number, since it uses less digits than its factorization.

221113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 221113300 is about 14869.8789504152. The cubic root of 221113300 is about 604.6976610164.

Adding to 221113300 its reverse (3311122), we get a palindrome (224424422).

The spelling of 221113300 in words is "two hundred twenty-one million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1481 1493 2962 2986 5924 5972 7405 7465 14810 14930 29620 29860 37025 37325 74050 74650 148100 149300 2211133 4422266 8844532 11055665 22111330 44222660 55278325 110556650 221113300