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221312004340 = 22576532420827
BaseRepresentation
bin1100111000011100111…
…0010011000011110100
3210011020121120200100111
43032013032103003310
512111221333114330
6245400324152404
721663213666310
oct3160716230364
9704217520314
10221312004340
1185948947529
1236a84b38704
1317b3c775a2b
14a9d6730b40
155b544a232a
hex33873930f4

221312004340 has 48 divisors (see below), whose sum is σ = 531962428032. Its totient is φ = 75762170496.

The previous prime is 221312004337. The next prime is 221312004343. The reversal of 221312004340 is 43400213122.

221312004340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221312004337) and next prime (221312004343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312004343) 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 15 ways as a sum of consecutive naturals, for example, 1118994 + ... + 1301833.

It is an arithmetic number, because the mean of its divisors is an integer number (11082550584).

Almost surely, 2221312004340 is an apocalyptic number.

221312004340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312004340 is an abundant number, since it is smaller than the sum of its proper divisors (310650423692).

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

221312004340 is a wasteful number, since it uses less digits than its factorization.

221312004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421496 (or 2421494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221312004340 its reverse (43400213122), we get a palindrome (264712217462).

The spelling of 221312004340 in words is "two hundred twenty-one billion, three hundred twelve million, four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 653 1306 2612 3265 4571 6530 9142 13060 18284 22855 45710 91420 2420827 4841654 9683308 12104135 16945789 24208270 33891578 48416540 67783156 84728945 169457890 338915780 1580800031 3161600062 6323200124 7904000155 11065600217 15808000310 22131200434 31616000620 44262400868 55328001085 110656002170 221312004340