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2196724140 = 22325131949409
BaseRepresentation
bin1000001011101111…
…0101100110101100
312200002112011000100
42002323311212230
513444330133030
61001551231100
7105302563362
oct20273654654
95602464010
102196724140
11a27aa23a6
12513818490
13290155590
1416ba67632
15cccc1360
hex82ef59ac

2196724140 has 144 divisors (see below), whose sum is σ = 7553800800. Its totient is φ = 512262144.

The previous prime is 2196724133. The next prime is 2196724237. The reversal of 2196724140 is 414276912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2196724095 and 2196724104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19756 + ... + 69164.

It is an arithmetic number, because the mean of its divisors is an integer number (52456950).

Almost surely, 22196724140 is an apocalyptic number.

2196724140 is a gapful number since it is divisible by the number (20) 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 2196724140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776900400).

2196724140 is an abundant number, since it is smaller than the sum of its proper divisors (5357076660).

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

2196724140 is a wasteful number, since it uses less digits than its factorization.

2196724140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49456 (or 49451 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2196724140 is about 46869.2238041127. The cubic root of 2196724140 is about 1299.9455874661.

The spelling of 2196724140 in words is "two billion, one hundred ninety-six million, seven hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 49409 98818 148227 197636 247045 296454 444681 494090 592908 642317 741135 889362 938771 988180 1284634 1482270 1778724 1877542 1926951 2223405 2569268 2816313 2964540 3211585 3755084 3853902 4446810 4693855 5632626 5780853 6423170 7707804 8448939 8893620 9387710 9634755 11265252 11561706 12204023 12846340 14081565 16897878 18775420 19269510 23123412 24408046 28163130 28904265 33795756 36612069 38539020 42244695 48816092 56326260 57808530 61020115 73224138 84489390 109836207 115617060 122040230 146448276 168978780 183060345 219672414 244080460 366120690 439344828 549181035 732241380 1098362070 2196724140