| Base | Representation |
|---|---|
| bin | 1010100000010… |
| … | …00111111010000 |
| 3 | 20010210211002000 |
| 4 | 11100020333100 |
| 5 | 140024222300 |
| 6 | 12424354000 |
| 7 | 2116661313 |
| oct | 520107720 |
| 9 | 203724060 |
| 10 | 88117200 |
| 11 | 45815836 |
| 12 | 25615900 |
| 13 | 15342c72 |
| 14 | b9ba97a |
| 15 | 7b08c00 |
| hex | 5408fd0 |
88117200 has 240 divisors, whose sum is σ = 322896000. Its totient is φ = 22809600.
The previous prime is 88117189. The next prime is 88117207. The reversal of 88117200 is 271188.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (88117207) 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 47 ways as a sum of consecutive naturals, for example, 442701 + ... + 442899.
It is an arithmetic number, because the mean of its divisors is an integer number (1345400).
Almost surely, 288117200 is an apocalyptic number.
88117200 is a gapful number since it is divisible by the number (80) 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 88117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448000).
88117200 is an abundant number, since it is smaller than the sum of its proper divisors (234778800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88117200 is a wasteful number, since it uses less digits than its factorization.
88117200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 250 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 27.
The square root of 88117200 is about 9387.0762221258. The cubic root of 88117200 is about 444.9933929920.
Adding to 88117200 its reverse (271188), we get a palindrome (88388388).
It can be divided in two parts, 881 and 17200, that added together give a palindrome (18081).
The spelling of 88117200 in words is "eighty-eight million, one hundred seventeen thousand, two hundred".
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