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2210002104 = 233234878221
BaseRepresentation
bin1000001110111001…
…1111010010111000
312201000111201221210
42003232133102320
514011230031404
61003144003120
7105523464552
oct20356372270
95630451853
102210002104
11a34541322
125181604a0
13292b2416b
1416d7224d2
15ce045689
hex83b9f4b8

2210002104 has 64 divisors (see below), whose sum is σ = 5777763840. Its totient is φ = 703105920.

The previous prime is 2210002103. The next prime is 2210002129. The reversal of 2210002104 is 4012000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2210002104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210002103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 264714 + ... + 272934.

It is an arithmetic number, because the mean of its divisors is an integer number (90277560).

Almost surely, 22210002104 is an apocalyptic number.

2210002104 is a gapful number since it is divisible by the number (24) 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 2210002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888881920).

2210002104 is an abundant number, since it is smaller than the sum of its proper divisors (3567761736).

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

2210002104 is a wasteful number, since it uses less digits than its factorization.

2210002104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2210002104 is about 47010.6594720814. The cubic root of 2210002104 is about 1302.5594750835.

Adding to 2210002104 its reverse (4012000122), we get a palindrome (6222002226).

The spelling of 2210002104 in words is "two billion, two hundred ten million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 487 552 974 1461 1948 2922 3896 5844 8221 11201 11688 16442 22402 24663 32884 33603 44804 49326 65768 67206 89608 98652 134412 189083 197304 268824 378166 567249 756332 1134498 1512664 2268996 4003627 4537992 8007254 12010881 16014508 24021762 32029016 48043524 92083421 96087048 184166842 276250263 368333684 552500526 736667368 1105001052 2210002104