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221441243232 = 25311209698147
BaseRepresentation
bin1100111000111011101…
…1010011100001100000
3210011120121202200210010
43032032323103201200
512112002424240412
6245421222204520
721666343340136
oct3161673234140
9704517680703
10221441243232
1185a04899630
1236b00283740
1317b60485c51
14aa09973756
155b609d033c
hex338eed3860

221441243232 has 48 divisors (see below), whose sum is σ = 634127199552. Its totient is φ = 67103406720.

The previous prime is 221441243209. The next prime is 221441243237. The reversal of 221441243232 is 232342144122.

221441243232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221441243232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221441243237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104848018 + ... + 104850129.

It is an arithmetic number, because the mean of its divisors is an integer number (13210983324).

Almost surely, 2221441243232 is an apocalyptic number.

221441243232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221441243232 is an abundant number, since it is smaller than the sum of its proper divisors (412685956320).

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

221441243232 is a wasteful number, since it uses less digits than its factorization.

221441243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209698171 (or 209698163 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 221441243232 its reverse (232342144122), we get a palindrome (453783387354).

The spelling of 221441243232 in words is "two hundred twenty-one billion, four hundred forty-one million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 209698147 419396294 629094441 838792588 1258188882 1677585176 2306679617 2516377764 3355170352 4613359234 5032755528 6710340704 6920038851 9226718468 10065511056 13840077702 18453436936 20131022112 27680155404 36906873872 55360310808 73813747744 110720621616 221441243232