Search a number
-
+
2201327040248 = 237131300071843
BaseRepresentation
bin100000000010001001010…
…100001111011011111000
321210110000021012011110022
4200002021110033123320
5242031304210241443
64403135314110012
7315016636053050
oct40021124173370
97713007164408
102201327040248
117796397a8a66
122b676bb7b308
1312c77979825b
147878acd0560
153c3dcbd3e68
hex2008950f6f8

2201327040248 has 32 divisors (see below), whose sum is σ = 4753138008960. Its totient is φ = 936224147040.

The previous prime is 2201327040247. The next prime is 2201327040251. The reversal of 2201327040248 is 8420407231022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201327040247) 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, 150028586 + ... + 150043257.

It is an arithmetic number, because the mean of its divisors is an integer number (148535562780).

Almost surely, 22201327040248 is an apocalyptic number.

2201327040248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2201327040248 is an abundant number, since it is smaller than the sum of its proper divisors (2551810968712).

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

2201327040248 is a wasteful number, since it uses less digits than its factorization.

2201327040248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300071987 (or 300071983 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 2201327040248 in words is "two trillion, two hundred one billion, three hundred twenty-seven million, forty thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 131 262 524 917 1048 1834 3668 7336 300071843 600143686 1200287372 2100502901 2400574744 4201005802 8402011604 16804023208 39309411433 78618822866 157237645732 275165880031 314475291464 550331760062 1100663520124 2201327040248