| Base | Representation |
|---|---|
| bin | 1101101010000… |
| … | …01000011000000 |
| 3 | 21222120022110000 |
| 4 | 12311001003000 |
| 5 | 213311424331 |
| 6 | 15211240000 |
| 7 | 2560516500 |
| oct | 665010300 |
| 9 | 258508400 |
| 10 | 114561216 |
| 11 | 597375a0 |
| 12 | 32449000 |
| 13 | 1a971503 |
| 14 | 11301a00 |
| 15 | a0ce0e6 |
| hex | 6d410c0 |
114561216 has 420 divisors, whose sum is σ = 441463176. Its totient is φ = 29030400.
The previous prime is 114561211. The next prime is 114561221. The reversal of 114561216 is 612165411.
114561216 is a `hidden beast` number, since 1 + 1 + 45 + 612 + 1 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (114561211) and next prime (114561221).
It is a super-2 number, since 2×1145612162 = 26248544422797312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
Its product of digits (1440) is a multiple of the sum of its prime factors (90).
It is a self number, because there is not a number n which added to its sum of digits gives 114561216.
It is not an unprimeable number, because it can be changed into a prime (114561211) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2794156 + ... + 2794196.
Almost surely, 2114561216 is an apocalyptic number.
114561216 is a gapful number since it is divisible by the number (16) 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 114561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220731588).
114561216 is an abundant number, since it is smaller than the sum of its proper divisors (326901960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114561216 is a wasteful number, since it uses less digits than its factorization.
114561216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 64 counting only the distinct ones).
The product of its digits is 1440, while the sum is 27.
The square root of 114561216 is about 10703.3273331240. The cubic root of 114561216 is about 485.6751372632.
The spelling of 114561216 in words is "one hundred fourteen million, five hundred sixty-one thousand, two hundred sixteen".
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