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3241224140 = 2257116473253
BaseRepresentation
bin1100000100110001…
…0010011111001100
322100212221020122112
43001030102133030
523114223133030
61253342403152
7143214644030
oct30114223714
98325836575
103241224140
11141364a740
127655904b8
133c867360b
1422a67a1c0
1513e842a95
hexc13127cc

3241224140 has 96 divisors (see below), whose sum is σ = 8501842944. Its totient is φ = 1008380160.

The previous prime is 3241224137. The next prime is 3241224143. The reversal of 3241224140 is 414221423.

It is an interprime number because it is at equal distance from previous prime (3241224137) and next prime (3241224143).

It is not an unprimeable number, because it can be changed into a prime (3241224143) 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, 994754 + ... + 998006.

It is an arithmetic number, because the mean of its divisors is an integer number (88560864).

Almost surely, 23241224140 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 3241224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250921472).

3241224140 is an abundant number, since it is smaller than the sum of its proper divisors (5260618804).

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

3241224140 is a wasteful number, since it uses less digits than its factorization.

3241224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3241224140 is about 56931.7498413671. The cubic root of 3241224140 is about 1479.9135784696.

Adding to 3241224140 its reverse (414221423), we get a palindrome (3655445563).

The spelling of 3241224140 in words is "three billion, two hundred forty-one million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 647 770 1294 1540 2588 3235 3253 4529 6470 6506 7117 9058 12940 13012 14234 16265 18116 22645 22771 28468 32530 35585 35783 45290 45542 49819 65060 71170 71566 90580 91084 99638 113855 142340 143132 178915 199276 227710 249095 250481 357830 455420 498190 500962 715660 996380 1001924 1252405 2104691 2504810 4209382 5009620 8418764 10523455 14732837 21046910 23151601 29465674 42093820 46303202 58931348 73664185 92606404 115758005 147328370 162061207 231516010 294656740 324122414 463032020 648244828 810306035 1620612070 3241224140