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2210113024 = 2971035987
BaseRepresentation
bin1000001110111011…
…1010011000000000
312201000201101002221
42003232322120000
514011242104044
61003150220424
7105524436130
oct20356723000
95630641087
102210113024
11a34607699
125181b4714
13292b627b2
1416d750ac0
15ce068484
hex83bba600

2210113024 has 80 divisors (see below), whose sum is σ = 5096602368. Its totient is φ = 937838592.

The previous prime is 2210113019. The next prime is 2210113027. The reversal of 2210113024 is 4203110122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2210112989 and 2210113007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210113027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366159 + ... + 372145.

Almost surely, 22210113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548301184).

2210113024 is an abundant number, since it is smaller than the sum of its proper divisors (2886489344).

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

2210113024 is an equidigital number, since it uses as much as digits as its factorization.

2210113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2210113024 is about 47011.8391897190. The cubic root of 2210113024 is about 1302.5812665379.

Adding to 2210113024 its reverse (4203110122), we get a palindrome (6413223146).

The spelling of 2210113024 in words is "two billion, two hundred ten million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 1442 1648 1792 2884 3296 3584 5768 5987 6592 11536 11974 13184 23072 23948 26368 41909 46144 47896 52736 83818 92288 95792 167636 184576 191584 335272 369152 383168 616661 670544 766336 1233322 1341088 1532672 2466644 2682176 3065344 4316627 4933288 5364352 8633254 9866576 10728704 17266508 19733152 21457408 34533016 39466304 69066032 78932608 138132064 157865216 276264128 315730432 552528256 1105056512 2210113024