Base | Representation |
---|---|
bin | 1100011110000011100… |
… | …1011100110100011100 |
3 | 202110221211001111221000 |
4 | 3013200321130310130 |
5 | 12002213444213030 |
6 | 242225254310300 |
7 | 21322506444144 |
oct | 3074071346434 |
9 | 673854044830 |
10 | 214226554140 |
11 | 82942339965 |
12 | 35628058390 |
13 | 17280851a51 |
14 | a5236cd924 |
15 | 588c409860 |
hex | 31e0e5cd1c |
214226554140 has 96 divisors (see below), whose sum is σ = 667715469120. Its totient is φ = 57021408000.
The previous prime is 214226554049. The next prime is 214226554231. The reversal of 214226554140 is 41455622412.
214226554140 is a `hidden beast` number, since 2 + 1 + 42 + 26 + 554 + 1 + 40 = 666.
214226554140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (214226554049) and next prime (214226554231).
It is a super-2 number, since 2×2142265541402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 214226554095 and 214226554104.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74511 + ... + 658790.
It is an arithmetic number, because the mean of its divisors is an integer number (6955369470).
Almost surely, 2214226554140 is an apocalyptic number.
214226554140 is a gapful number since it is divisible by the number (20) 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 214226554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333857734560).
214226554140 is an abundant number, since it is smaller than the sum of its proper divisors (453488914980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214226554140 is a wasteful number, since it uses less digits than its factorization.
214226554140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 733860 (or 733852 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The spelling of 214226554140 in words is "two hundred fourteen billion, two hundred twenty-six million, five hundred fifty-four thousand, one hundred forty".
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