Base | Representation |
---|---|
bin | 11100110111111… |
… | …11101111100000 |
3 | 121212210001101010 |
4 | 32123333233200 |
5 | 444002020000 |
6 | 40011340520 |
7 | 6000556521 |
oct | 1633775740 |
9 | 555701333 |
10 | 242220000 |
11 | 1147aa520 |
12 | 69151740 |
13 | 3b24a459 |
14 | 24252848 |
15 | 163e8d50 |
hex | e6ffbe0 |
242220000 has 240 divisors, whose sum is σ = 869121792. Its totient is φ = 58560000.
The previous prime is 242219993. The next prime is 242220031. The reversal of 242220000 is 22242.
It is a happy number.
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 (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
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 39 ways as a sum of consecutive naturals, for example, 659817 + ... + 660183.
Almost surely, 2242220000 is an apocalyptic number.
242220000 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 242220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434560896).
242220000 is an abundant number, since it is smaller than the sum of its proper divisors (626901792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242220000 is a wasteful number, since it uses less digits than its factorization.
242220000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 411 (or 388 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 242220000 is about 15563.4186475851. The cubic root of 242220000 is about 623.3567500203.
Adding to 242220000 its reverse (22242), we get a palindrome (242242242).
It can be divided in two parts, 2422 and 20000, that added together give a palindrome (22422).
The spelling of 242220000 in words is "two hundred forty-two million, two hundred twenty thousand".
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