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2207243106 = 2324612577
BaseRepresentation
bin1000001110001111…
…1101101101100010
312200211022120022200
42003203331231202
514010023234411
61003004514030
7105461154045
oct20343755542
95624276280
102207243106
11a32a27462
1251724b916
13292399413
1416d204c5c
15cdb9ce56
hex838fdb62

2207243106 has 36 divisors (see below), whose sum is σ = 4801062786. Its totient is φ = 732879360.

The previous prime is 2207243083. The next prime is 2207243107. The reversal of 2207243106 is 6013427022.

2207243106 is a `hidden beast` number, since 220 + 7 + 2 + 431 + 0 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2097182025 + 110061081 = 45795^2 + 10491^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2207243106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2207243107) 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 17 ways as a sum of consecutive naturals, for example, 3825090 + ... + 3825666.

Almost surely, 22207243106 is an apocalyptic number.

2207243106 is an abundant number, since it is smaller than the sum of its proper divisors (2593819680).

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

2207243106 is an equidigital number, since it uses as much as digits as its factorization.

2207243106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2207243106 is about 46981.3059205467. The cubic root of 2207243106 is about 1302.0172047816.

The spelling of 2207243106 in words is "two billion, two hundred seven million, two hundred forty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 461 577 922 1154 1383 1731 2766 3462 4149 5193 8298 10386 212521 265997 425042 531994 637563 797991 1275126 1595982 1912689 2393973 3825378 4787946 122624617 245249234 367873851 735747702 1103621553 2207243106