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2210321142 = 233312191223
BaseRepresentation
bin1000001110111110…
…1101001011110110
312201001002221121000
42003233231023312
514011320234032
61003154504130
7105526263651
oct20357551366
95631087530
102210321142
11a34739a97
12518295046
13292c06443
1416d7a6898
15ce0a9e7c
hex83bed2f6

2210321142 has 96 divisors (see below), whose sum is σ = 5124833280. Its totient is φ = 706093200.

The previous prime is 2210321119. The next prime is 2210321143. The reversal of 2210321142 is 2411230122.

It is a happy number.

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 (2210321143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9911643 + ... + 9911865.

It is an arithmetic number, because the mean of its divisors is an integer number (53383680).

Almost surely, 22210321142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210321142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562416640).

2210321142 is an abundant number, since it is smaller than the sum of its proper divisors (2914512138).

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

2210321142 is a wasteful number, since it uses less digits than its factorization.

2210321142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 450 counting only the distinct ones).

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

The square root of 2210321142 is about 47014.0526013234. The cubic root of 2210321142 is about 1302.6221516414.

Adding to 2210321142 its reverse (2411230122), we get a palindrome (4621551264).

The spelling of 2210321142 in words is "two billion, two hundred ten million, three hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 191 223 279 382 446 558 573 669 837 961 1146 1338 1674 1719 1922 2007 2883 3438 4014 5157 5766 5921 6021 6913 8649 10314 11842 12042 13826 17298 17763 20739 25947 35526 41478 42593 51894 53289 62217 85186 106578 124434 127779 159867 183551 186651 214303 255558 319734 367102 373302 383337 428606 550653 642909 766674 1101306 1150011 1285818 1320383 1651959 1928727 2300022 2640766 3303918 3857454 3961149 4955877 5786181 7922298 9911754 11572362 11883447 23766894 35650341 40931873 71300682 81863746 122795619 245591238 368386857 736773714 1105160571 2210321142