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221424121312 = 25291193200003
BaseRepresentation
bin1100111000110111100…
…1111111010111100000
3210011112102112210220221
43032031321333113200
512111434033340222
6245415411212424
721666044656042
oct3161571772740
9704472483827
10221424121312
11859a6164689
1236ab65a7114
1317b59a6c834
14aa07597a92
155b5e24c0c7
hex338de7f5e0

221424121312 has 48 divisors (see below), whose sum is σ = 451341026640. Its totient is φ = 106804268032.

The previous prime is 221424121301. The next prime is 221424121327. The reversal of 221424121312 is 213121424122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007103 + ... + 1207105.

It is an arithmetic number, because the mean of its divisors is an integer number (9402938055).

Almost surely, 2221424121312 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 221424121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225670513320).

221424121312 is an abundant number, since it is smaller than the sum of its proper divisors (229916905328).

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

221424121312 is a wasteful number, since it uses less digits than its factorization.

221424121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201235 (or 201227 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 221424121312 its reverse (213121424122), we get a palindrome (434545545434).

The spelling of 221424121312 in words is "two hundred twenty-one billion, four hundred twenty-four million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1193 2386 4772 9544 19088 34597 38176 69194 138388 200003 276776 400006 553552 800012 1107104 1600024 3200048 5800087 6400096 11600174 23200348 46400696 92801392 185602784 238603579 477207158 954414316 1908828632 3817657264 6919503791 7635314528 13839007582 27678015164 55356030328 110712060656 221424121312