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228787870845440 = 2953141109645091
BaseRepresentation
bin110100000001010011010011…
…110001010100101000000000
31010000001220111002110210222102
4310001103103301110220000
5214441430024414023230
62130331410310125532
766122243502134234
oct6401232361245000
91100056432423872
10228787870845440
1166998433671a35
12217b07570508a8
139a877b029abaa
14406d56ba485c4
151b6b46e3e9045
hexd014d3c54a00

228787870845440 has 320 divisors, whose sum is σ = 585383523056640. Its totient is φ = 85610151936000.

The previous prime is 228787870845439. The next prime is 228787870845487. The reversal of 228787870845440 is 44548078787822.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 354337295 + ... + 354982385.

It is an arithmetic number, because the mean of its divisors is an integer number (1829323509552).

Almost surely, 2228787870845440 is an apocalyptic number.

228787870845440 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 228787870845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292691761528320).

228787870845440 is an abundant number, since it is smaller than the sum of its proper divisors (356595652211200).

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

228787870845440 is a wasteful number, since it uses less digits than its factorization.

228787870845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645295 (or 645279 counting only the distinct ones).

The product of its (nonzero) digits is 1798307840, while the sum is 74.

The spelling of 228787870845440 in words is "two hundred twenty-eight trillion, seven hundred eighty-seven billion, eight hundred seventy million, eight hundred forty-five thousand, four hundred forty".