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2221224324440 = 235117171101931
BaseRepresentation
bin100000010100101011010…
…010010110110101011000
321212100100221102221002212
4200110223102112311120
5242343031411340230
64420225534014252
7316323003144002
oct40245322266530
97770327387085
102221224324440
1178701a251090
122ba5a3647388
131315caabb1b4
14797176b9372
153cba4910895
hex2052b496d58

2221224324440 has 64 divisors (see below), whose sum is σ = 5528886232320. Its totient is φ = 796341616000.

The previous prime is 2221224324437. The next prime is 2221224324457. The reversal of 2221224324440 is 444234221222.

It is a junction number, because it is equal to n+sod(n) for n = 2221224324397 and 2221224324406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35519726 + ... + 35582205.

It is an arithmetic number, because the mean of its divisors is an integer number (86388847380).

Almost surely, 22221224324440 is an apocalyptic number.

2221224324440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221224324440 is an abundant number, since it is smaller than the sum of its proper divisors (3307661907880).

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

2221224324440 is a wasteful number, since it uses less digits than its factorization.

2221224324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71102024 (or 71102020 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2221224324440 its reverse (444234221222), we get a palindrome (2665458545662).

The spelling of 2221224324440 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-four million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 31240 71101931 142203862 284407724 355509655 568815448 711019310 782121241 1422038620 1564242482 2844077240 3128484964 3910606205 5048237101 6256969928 7821212410 10096474202 15642424820 20192948404 25241185505 31284849640 40385896808 50482371010 55530608111 100964742020 111061216222 201929484040 222122432444 277653040555 444244864888 555306081110 1110612162220 2221224324440