Search a number
-
+
2291831055360 = 21035571147509
BaseRepresentation
bin100001010110011011110…
…001101010010000000000
322010002121122110111100000
4201112123301222100000
5300022132222232420
64512504101200000
7324402465355320
oct41263361522000
98102548414300
102291831055360
11803a61979070
12310209700000
13138170b4a012
147ccd4b0b280
153e93841d690
hex2159bc6a400

2291831055360 has 2112 divisors, whose sum is σ = 10506380451840. Its totient is φ = 465176494080.

The previous prime is 2291831055359. The next prime is 2291831055361. The reversal of 2291831055360 is 635501381922.

2291831055360 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 8 + 3 + 105 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2291831055359) and next prime (2291831055361).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2291831055361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4502614786 + ... + 4502615294.

Almost surely, 22291831055360 is an apocalyptic number.

2291831055360 is a gapful number since it is divisible by the number (20) 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 2291831055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253190225920).

2291831055360 is an abundant number, since it is smaller than the sum of its proper divisors (8214549396480).

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

2291831055360 is a wasteful number, since it uses less digits than its factorization.

2291831055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2291831055360 in words is "two trillion, two hundred ninety-one billion, eight hundred thirty-one million, fifty-five thousand, three hundred sixty".