| Base | Representation |
|---|---|
| bin | 11001100100001… |
| … | …00111111100000 |
| 3 | 112221112101220122 |
| 4 | 30302010333200 |
| 5 | 414400013430 |
| 6 | 33140255412 |
| 7 | 5212555010 |
| oct | 1462047740 |
| 9 | 487471818 |
| 10 | 214454240 |
| 11 | 100065710 |
| 12 | 5b9a1568 |
| 13 | 35578400 |
| 14 | 206a5c40 |
| 15 | 13c61ee5 |
| hex | cc84fe0 |
214454240 has 288 divisors, whose sum is σ = 690633216. Its totient is φ = 61102080.
The previous prime is 214454237. The next prime is 214454243. The reversal of 214454240 is 42454412.
214454240 = T439 + T440 + ... + T1110.
It is an interprime number because it is at equal distance from previous prime (214454237) and next prime (214454243).
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214454243) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 2082029 + ... + 2082131.
It is an arithmetic number, because the mean of its divisors is an integer number (2398032).
Almost surely, 2214454240 is an apocalyptic number.
214454240 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 214454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345316608).
214454240 is an abundant number, since it is smaller than the sum of its proper divisors (476178976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214454240 is a wasteful number, since it uses less digits than its factorization.
214454240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 26.
The square root of 214454240 is about 14644.2562119078. The cubic root of 214454240 is about 598.5653129301.
It can be divided in two parts, 214 and 454240, that added together give a palindrome (454454).
The spelling of 214454240 in words is "two hundred fourteen million, four hundred fifty-four thousand, two hundred forty".
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