Base | Representation |
---|---|
bin | 11011010000010… |
… | …11001110110000 |
3 | 120221012220001000 |
4 | 31220023032300 |
5 | 432012314233 |
6 | 34404242000 |
7 | 5444241000 |
oct | 1550131660 |
9 | 527186030 |
10 | 228635568 |
11 | 108071317 |
12 | 646a0300 |
13 | 384a2225 |
14 | 22518000 |
15 | 15113d13 |
hex | da0b3b0 |
228635568 has 160 divisors (see below), whose sum is σ = 765824000. Its totient is φ = 65282112.
The previous prime is 228635551. The next prime is 228635573. The reversal of 228635568 is 865536822.
228635568 is a `hidden beast` number, since 2 + 2 + 8 + 635 + 5 + 6 + 8 = 666.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147405 + ... + 148947.
It is an arithmetic number, because the mean of its divisors is an integer number (4786400).
Almost surely, 2228635568 is an apocalyptic number.
228635568 is a gapful number since it is divisible by the number (28) 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 228635568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382912000).
228635568 is an abundant number, since it is smaller than the sum of its proper divisors (537188432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228635568 is a wasteful number, since it uses less digits than its factorization.
228635568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1581 (or 1555 counting only the distinct ones).
The product of its digits is 691200, while the sum is 45.
The square root of 228635568 is about 15120.6999837970. The cubic root of 228635568 is about 611.4786024385.
The spelling of 228635568 in words is "two hundred twenty-eight million, six hundred thirty-five thousand, five hundred sixty-eight".
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