Search a number
-
+
3224101140 = 22325131377821
BaseRepresentation
bin1100000000101011…
…1110000100010100
322022200201022022100
43000022332010110
523100332214030
61251531402100
7142616256531
oct30012760424
98280638270
103224101140
111404a149a7
1275b8b3330
133c4c59870
1422829dd88
1513d0ae360
hexc02be114

3224101140 has 72 divisors (see below), whose sum is σ = 10532071368. Its totient is φ = 793624320.

The previous prime is 3224101117. The next prime is 3224101147. The reversal of 3224101140 is 411014223.

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 3204012816 = 4482^2 + 56604^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224101147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686571 + ... + 691250.

It is an arithmetic number, because the mean of its divisors is an integer number (146278769).

Almost surely, 23224101140 is an apocalyptic number.

3224101140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3224101140 is an abundant number, since it is smaller than the sum of its proper divisors (7307970228).

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

3224101140 is a wasteful number, since it uses less digits than its factorization.

3224101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377849 (or 1377844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3224101140 is about 56781.1688854677. The cubic root of 3224101140 is about 1477.3029068781.

Adding to 3224101140 its reverse (411014223), we get a palindrome (3635115363).

The spelling of 3224101140 in words is "three billion, two hundred twenty-four million, one hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1377821 2755642 4133463 5511284 6889105 8266926 12400389 13778210 16533852 17911673 20667315 24800778 27556420 35823346 41334630 49601556 53735019 62001945 71646692 82669260 89558365 107470038 124003890 161205057 179116730 214940076 248007780 268675095 322410114 358233460 537350190 644820228 806025285 1074700380 1612050570 3224101140