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228055855104 = 2123471179113
BaseRepresentation
bin1101010001100100110…
…0000011000000000000
3210210122121022210110000
43110121030003000000
512214024244330404
6252433432240000
722322302532640
oct3243114030000
9723577283400
10228055855104
1188799648410
1238247540000
131867599537c
14b076250520
155deb570339
hex3519303000

228055855104 has 1040 divisors, whose sum is σ = 867737502720. Its totient is φ = 57967902720.

The previous prime is 228055855099. The next prime is 228055855109. The reversal of 228055855104 is 401558550822.

228055855104 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 55 + 85 + 510 + 4 = 666.

228055855104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228055855099) and next prime (228055855109).

It is a self number, because there is not a number n which added to its sum of digits gives 228055855104.

It is not an unprimeable number, because it can be changed into a prime (228055855109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2018193352 + ... + 2018193464.

Almost surely, 2228055855104 is an apocalyptic number.

228055855104 is a gapful number since it is divisible by the number (24) 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 228055855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433868751360).

228055855104 is an abundant number, since it is smaller than the sum of its proper divisors (639681647616).

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

228055855104 is a wasteful number, since it uses less digits than its factorization.

228055855104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

The spelling of 228055855104 in words is "two hundred twenty-eight billion, fifty-five million, eight hundred fifty-five thousand, one hundred four".