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221140413 = 32131890089
BaseRepresentation
bin11010010111001…
…01010110111101
3120102010002121200
431023211112331
5423102443123
633535450113
75323443144
oct1513452675
9512102550
10221140413
1110391207a
1262086939
1336a79820
142152675b
1514633143
hexd2e55bd

221140413 has 12 divisors (see below), whose sum is σ = 343996380. Its totient is φ = 136086336.

The previous prime is 221140393. The next prime is 221140417. The reversal of 221140413 is 314041122.

221140413 is a `hidden beast` number, since 2 + 211 + 40 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43797924 + 177342489 = 6618^2 + 13317^2 .

It is not a de Polignac number, because 221140413 - 26 = 221140349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221140417) 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, 944928 + ... + 945161.

It is an arithmetic number, because the mean of its divisors is an integer number (28666365).

Almost surely, 2221140413 is an apocalyptic number.

It is an amenable number.

221140413 is a deficient number, since it is larger than the sum of its proper divisors (122855967).

221140413 is a wasteful number, since it uses less digits than its factorization.

221140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890108 (or 1890105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221140413 is about 14870.7905976784. The cubic root of 221140413 is about 604.7223760947.

Adding to 221140413 its reverse (314041122), we get a palindrome (535181535).

It can be divided in two parts, 2211 and 40413, that added together give a palindrome (42624).

The spelling of 221140413 in words is "two hundred twenty-one million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 117 1890089 5670267 17010801 24571157 73713471 221140413