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221332014 = 2341937079
BaseRepresentation
bin11010011000101…
…00001000101110
3120102110211110000
431030110020232
5423130111024
633543525130
75325201561
oct1514241056
9512424400
10221332014
11103a33022
12621597a6
1336b15ab7
14215764d8
151466ecc9
hexd31422e

221332014 has 40 divisors (see below), whose sum is σ = 498587760. Its totient is φ = 73384704.

The previous prime is 221331989. The next prime is 221332019. The reversal of 221332014 is 410233122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332019) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27727 + ... + 34805.

It is an arithmetic number, because the mean of its divisors is an integer number (12464694).

Almost surely, 2221332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249293880).

221332014 is an abundant number, since it is smaller than the sum of its proper divisors (277255746).

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

221332014 is a wasteful number, since it uses less digits than its factorization.

221332014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221332014 is about 14877.2313956596. The cubic root of 221332014 is about 604.8969740100.

Adding to 221332014 its reverse (410233122), we get a palindrome (631565136).

The spelling of 221332014 in words is "two hundred twenty-one million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1737 3474 5211 7079 10422 14158 15633 21237 31266 42474 63711 127422 191133 382266 573399 1146798 1366247 2732494 4098741 8197482 12296223 24592446 36888669 73777338 110666007 221332014