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2141223210 = 232578340949
BaseRepresentation
bin111111110100000…
…0111100100101010
312112020002102001100
41333220013210222
513341123120320
6552245502230
7104030045160
oct17750074452
95466072040
102141223210
119a9734765
124b9111976
132817c23a9
1416453b230
15c7eab790
hex7fa0792a

2141223210 has 96 divisors (see below), whose sum is σ = 6439305600. Its totient is φ = 483513984.

The previous prime is 2141223209. The next prime is 2141223233. The reversal of 2141223210 is 123221412.

It is a happy number.

2141223210 is a `hidden beast` number, since 21 + 412 + 23 + 210 = 666.

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

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, 31816 + ... + 72764.

It is an arithmetic number, because the mean of its divisors is an integer number (67076100).

Almost surely, 22141223210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141223210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

2141223210 is an abundant number, since it is smaller than the sum of its proper divisors (4298082390).

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

2141223210 is a wasteful number, since it uses less digits than its factorization.

2141223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41052 (or 41049 counting only the distinct ones).

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

The square root of 2141223210 is about 46273.3531311488. The cubic root of 2141223210 is about 1288.9042254115.

Adding to 2141223210 its reverse (123221412), we get a palindrome (2264444622).

The spelling of 2141223210 in words is "two billion, one hundred forty-one million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2490 2905 3486 3735 5229 5810 7470 8715 10458 17430 26145 40949 52290 81898 122847 204745 245694 286643 368541 409490 573286 614235 737082 859929 1228470 1433215 1719858 1842705 2579787 2866430 3398767 3685410 4299645 5159574 6797534 8599290 10196301 12898935 16993835 20392602 23791369 25797870 30588903 33987670 47582738 50981505 61177806 71374107 101963010 118956845 142748214 152944515 214122321 237913690 305889030 356870535 428244642 713741070 1070611605 2141223210