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221241344 = 213113239
BaseRepresentation
bin11010010111111…
…10000000000000
3120102022020001212
431023332000000
5423114210334
633541545252
75324343332
oct1513760000
9512266055
10221241344
11103980995
1262115228
1336ab374c
1421551452
1514652ece
hexd2fe000

221241344 has 56 divisors (see below), whose sum is σ = 448238880. Its totient is φ = 109182976.

The previous prime is 221241341. The next prime is 221241353. The reversal of 221241344 is 443142122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221241341) 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, 925577 + ... + 925815.

Almost surely, 2221241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224119440).

221241344 is an abundant number, since it is smaller than the sum of its proper divisors (226997536).

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

221241344 is an equidigital number, since it uses as much as digits as its factorization.

221241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 221241344 is about 14874.1838095406. The cubic root of 221241344 is about 604.8143628253.

Adding to 221241344 its reverse (443142122), we get a palindrome (664383466).

The spelling of 221241344 in words is "two hundred twenty-one million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 239 256 452 478 512 904 956 1024 1808 1912 2048 3616 3824 4096 7232 7648 8192 14464 15296 27007 28928 30592 54014 57856 61184 108028 115712 122368 216056 231424 244736 432112 462848 489472 864224 925696 978944 1728448 1957888 3456896 6913792 13827584 27655168 55310336 110620672 221241344