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221330440 = 2355533261
BaseRepresentation
bin11010011000100…
…11110000001000
3120102110202021201
431030103300020
5423130033230
633543513544
75325164152
oct1514236010
9512422251
10221330440
11103a31921
12621588b4
1336b15176
1421575ad2
151466e5ca
hexd313c08

221330440 has 16 divisors (see below), whose sum is σ = 497993580. Its totient is φ = 88532160.

The previous prime is 221330437. The next prime is 221330441. The reversal of 221330440 is 44033122.

221330440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200335716 + 20994724 = 14154^2 + 4582^2 .

It is not an unprimeable number, because it can be changed into a prime (221330441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2766591 + ... + 2766670.

Almost surely, 2221330440 is an apocalyptic number.

221330440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221330440 is an abundant number, since it is smaller than the sum of its proper divisors (276663140).

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

221330440 is a wasteful number, since it uses less digits than its factorization.

221330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533272 (or 5533268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 221330440 is about 14877.1784959380. The cubic root of 221330440 is about 604.8955401007.

Adding to 221330440 its reverse (44033122), we get a palindrome (265363562).

The spelling of 221330440 in words is "two hundred twenty-one million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5533261 11066522 22133044 27666305 44266088 55332610 110665220 221330440