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1326223140 = 2235114574397
BaseRepresentation
bin100111100001100…
…1000111100100100
310102102112010010120
41033003020330210
510204003120030
6335333321540
744602465524
oct11703107444
93372463116
101326223140
11620689090
123101962b0
131819b9b28
14c81c9684
157b670010
hex4f0c8f24

1326223140 has 96 divisors (see below), whose sum is σ = 4060796544. Its totient is φ = 320732160.

The previous prime is 1326223139. The next prime is 1326223141. The reversal of 1326223140 is 413226231.

It is an interprime number because it is at equal distance from previous prime (1326223139) and next prime (1326223141).

It is a self number, because there is not a number n which added to its sum of digits gives 1326223140.

It is not an unprimeable number, because it can be changed into a prime (1326223141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299422 + ... + 303818.

It is an arithmetic number, because the mean of its divisors is an integer number (42299964).

Almost surely, 21326223140 is an apocalyptic number.

1326223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030398272).

1326223140 is an abundant number, since it is smaller than the sum of its proper divisors (2734573404).

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

1326223140 is a wasteful number, since it uses less digits than its factorization.

1326223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1326223140 is about 36417.3466908285. The cubic root of 1326223140 is about 1098.6824831901.

Adding to 1326223140 its reverse (413226231), we get a palindrome (1739449371).

The spelling of 1326223140 in words is "one billion, three hundred twenty-six million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 457 660 914 1371 1828 2285 2742 4397 4570 5027 5484 6855 8794 9140 10054 13191 13710 15081 17588 20108 21985 25135 26382 27420 30162 43970 48367 50270 52764 60324 65955 75405 87940 96734 100540 131910 145101 150810 193468 241835 263820 290202 301620 483670 580404 725505 967340 1451010 2009429 2902020 4018858 6028287 8037716 10047145 12056574 20094290 22103719 24113148 30141435 40188580 44207438 60282870 66311157 88414876 110518595 120565740 132622314 221037190 265244628 331555785 442074380 663111570 1326223140