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2268208975032 = 23337111349921023
BaseRepresentation
bin100001000000011011110…
…010100100110010111000
322000211122101100110222000
4201000123302210302320
5244130242444200112
64454000102101000
7322605222114420
oct41003362446270
98024571313860
102268208975032
117a4a3a91a530
1230771671a760
13135b77c30cb0
147bad3769480
153e0046cd7dc
hex2101bca4cb8

2268208975032 has 512 divisors, whose sum is σ = 8476876800000. Its totient is φ = 542710679040.

The previous prime is 2268208975031. The next prime is 2268208975051. The reversal of 2268208975032 is 2305798028622.

2268208975032 is a `hidden beast` number, since 2 + 26 + 8 + 20 + 8 + 97 + 503 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2268208975032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268208975031) 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 127 ways as a sum of consecutive naturals, for example, 107881273 + ... + 107902295.

It is an arithmetic number, because the mean of its divisors is an integer number (16556400000).

Almost surely, 22268208975032 is an apocalyptic number.

2268208975032 is a gapful number since it is divisible by the number (22) 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 2268208975032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238438400000).

2268208975032 is an abundant number, since it is smaller than the sum of its proper divisors (6208667824968).

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

2268208975032 is a wasteful number, since it uses less digits than its factorization.

2268208975032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21568 (or 21558 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2268208975032 in words is "two trillion, two hundred sixty-eight billion, two hundred eight million, nine hundred seventy-five thousand, thirty-two".