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228878563358592 = 2734719672477329
BaseRepresentation
bin110100000010100111110001…
…011101110011011110000000
31010000101120120121102211120000
4310002213301131303132000
5214444421244204433332
62130441205505320000
766131634110600460
oct6402476135633600
91100346517384500
10228878563358592
1166a22943189444
1221806247936000
139a9320470a864
144073ad28d1ba0
151b6d9cb469b7c
hexd029f1773780

228878563358592 has 640 divisors, whose sum is σ = 831645626592000. Its totient is φ = 61027409608704.

The previous prime is 228878563358527. The next prime is 228878563358593. The reversal of 228878563358592 is 295853365878822.

228878563358592 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 78 + 56 + 335 + 85 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228878563358593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91150584 + ... + 93627912.

It is an arithmetic number, because the mean of its divisors is an integer number (1299446291550).

Almost surely, 2228878563358592 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 228878563358592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415822813296000).

228878563358592 is an abundant number, since it is smaller than the sum of its proper divisors (602767063233408).

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

228878563358592 is a wasteful number, since it uses less digits than its factorization.

228878563358592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477448 (or 2477427 counting only the distinct ones).

The product of its digits is 13934592000, while the sum is 81.

The spelling of 228878563358592 in words is "two hundred twenty-eight trillion, eight hundred seventy-eight billion, five hundred sixty-three million, three hundred fifty-eight thousand, five hundred ninety-two".