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227978680248 = 233411179197907
BaseRepresentation
bin1101010001010010010…
…1101001011110111000
3210210110020002220110000
43110110211221132320
512213400020231443
6252422034153000
722320344544234
oct3242445513670
9723406086400
10227978680248
118875a026840
1238225722760
13186629b3b87
14b069cc15c4
155de48c88d3
hex35149697b8

227978680248 has 320 divisors, whose sum is σ = 704825193600. Its totient is φ = 68274420480.

The previous prime is 227978680141. The next prime is 227978680273. The reversal of 227978680248 is 842086879722.

227978680248 is a `hidden beast` number, since 227 + 97 + 8 + 6 + 80 + 248 = 666.

227978680248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251354211 + ... + 251355117.

It is an arithmetic number, because the mean of its divisors is an integer number (2202578730).

Almost surely, 2227978680248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227978680248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352412596800).

227978680248 is an abundant number, since it is smaller than the sum of its proper divisors (476846513352).

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

227978680248 is a wasteful number, since it uses less digits than its factorization.

227978680248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 227978680248 in words is "two hundred twenty-seven billion, nine hundred seventy-eight million, six hundred eighty thousand, two hundred forty-eight".