Search a number
-
+
221340431 = 13235691301
BaseRepresentation
bin11010011000101…
…10001100001111
3120102111020222202
431030112030033
5423130343211
633544032115
75325235244
oct1514261417
9512436882
10221340431
11103a39384
126216263b
1336b19890
14215795cb
151467253b
hexd31630f

221340431 has 16 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 194937600.

The previous prime is 221340409. The next prime is 221340439. The reversal of 221340431 is 134043122.

221340431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-221340431 is a prime.

It is a super-2 number, since 2×2213404312 = 97983172790531522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221340439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169481 + ... + 170781.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2221340431 is an apocalyptic number.

221340431 is a deficient number, since it is larger than the sum of its proper divisors (28018609).

221340431 is a wasteful number, since it uses less digits than its factorization.

221340431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 221340431 is about 14877.5142749049. The cubic root of 221340431 is about 604.9046417565.

Adding to 221340431 its reverse (134043122), we get a palindrome (355383553).

The spelling of 221340431 in words is "two hundred twenty-one million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 13 23 299 569 1301 7397 13087 16913 29923 170131 388999 740269 9623497 17026187 221340431