Base | Representation |
---|---|
bin | 110100000010111111101011… |
… | …101111110110110110000000 |
3 | 1010000111000211212100201012100 |
4 | 310002333223233312312000 |
5 | 220000331334212401423 |
6 | 2130501053241430400 |
7 | 66133533250115040 |
oct | 6402775357666600 |
9 | 1100430755321170 |
10 | 228904237231488 |
11 | 66a3281843a115 |
12 | 2180b211a9b400 |
13 | 9a95766736220 |
14 | 407504a571720 |
15 | 1b6e4d039d343 |
hex | d02febbf6d80 |
228904237231488 has 2304 divisors, whose sum is σ = 887425733376000. Its totient is φ = 55115053793280.
The previous prime is 228904237231469. The next prime is 228904237231511. The reversal of 228904237231488 is 884132732409822.
228904237231488 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 0 + 4 + 237 + 2 + 314 + 88 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141211743318 + ... + 141211744938.
It is an arithmetic number, because the mean of its divisors is an integer number (385167419000).
Almost surely, 2228904237231488 is an apocalyptic number.
228904237231488 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 228904237231488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443712866688000).
228904237231488 is an abundant number, since it is smaller than the sum of its proper divisors (658521496144512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228904237231488 is a wasteful number, since it uses less digits than its factorization.
228904237231488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1833 (or 1801 counting only the distinct ones).
The product of its (nonzero) digits is 74317824, while the sum is 63.
The spelling of 228904237231488 in words is "two hundred twenty-eight trillion, nine hundred four billion, two hundred thirty-seven million, two hundred thirty-one thousand, four hundred eighty-eight".
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