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2000022208 = 26473371973
BaseRepresentation
bin111011100110101…
…1110101011000000
312011101101122200121
41313031132223000
513044001202313
6530243230024
7100363623352
oct16715365300
95141348617
102000022208
11936a62318
12479978314
1325b4844c2
1414d8a30d2
15ba8b928d
hex7735eac0

2000022208 has 56 divisors (see below), whose sum is σ = 4067324352. Its totient is φ = 975335424.

The previous prime is 2000022203. The next prime is 2000022253. The reversal of 2000022208 is 8022200002.

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 = 2000022191 and 2000022200.

It is not an unprimeable number, because it can be changed into a prime (2000022203) 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 7 ways as a sum of consecutive naturals, for example, 1012710 + ... + 1014682.

It is an arithmetic number, because the mean of its divisors is an integer number (72630792).

Almost surely, 22000022208 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 2000022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033662176).

2000022208 is an abundant number, since it is smaller than the sum of its proper divisors (2067302144).

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

2000022208 is a wasteful number, since it uses less digits than its factorization.

2000022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2000022208 is about 44721.6078422948. The cubic root of 2000022208 is about 1259.9257132654.

The spelling of 2000022208 in words is "two billion, twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 337 376 674 752 1348 1504 1973 2696 3008 3946 5392 7892 10784 15784 15839 21568 31568 31678 63136 63356 92731 126272 126712 185462 253424 370924 506848 664901 741848 1013696 1329802 1483696 2659604 2967392 5319208 5934784 10638416 21276832 31250347 42553664 62500694 125001388 250002776 500005552 1000011104 2000022208