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2130221660 = 2257173281313
BaseRepresentation
bin111111011111000…
…1001101001011100
312111110101110202112
41332332021221130
513330314043120
6551214013152
7103534404530
oct17676115134
95443343675
102130221660
119a3500076
124b54a71b8
1327c43c9b8
14162cb5bc0
15c7036bc5
hex7ef89a5c

2130221660 has 96 divisors (see below), whose sum is σ = 5176870272. Its totient is φ = 721244160.

The previous prime is 2130221657. The next prime is 2130221693. The reversal of 2130221660 is 661220312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6805664 + ... + 6805976.

It is an arithmetic number, because the mean of its divisors is an integer number (53925732).

Almost surely, 22130221660 is an apocalyptic number.

2130221660 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 2130221660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588435136).

2130221660 is an abundant number, since it is smaller than the sum of its proper divisors (3046648612).

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

2130221660 is a wasteful number, since it uses less digits than its factorization.

2130221660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2130221660 is about 46154.3243911120. The cubic root of 2130221660 is about 1286.6929816746.

Adding to 2130221660 its reverse (661220312), we get a palindrome (2791441972).

The spelling of 2130221660 in words is "two billion, one hundred thirty million, two hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 281 313 346 562 626 692 865 1124 1211 1252 1405 1565 1730 1967 2191 2422 2810 3130 3460 3934 4382 4844 5620 6055 6260 7868 8764 9835 10955 12110 19670 21910 24220 39340 43820 48613 54149 87953 97226 108298 175906 194452 216596 243065 270745 340291 351812 379043 439765 486130 541490 615671 680582 758086 879530 972260 1082980 1231342 1361164 1516172 1701455 1759060 1895215 2462684 3078355 3402910 3790430 6156710 6805820 7580860 12313420 15215869 30431738 60863476 76079345 106511083 152158690 213022166 304317380 426044332 532555415 1065110830 2130221660