Base | Representation |
---|---|
bin | 11100111000000… |
… | …00010110100100 |
3 | 121212210011210201 |
4 | 32130000112210 |
5 | 444002110000 |
6 | 40011400244 |
7 | 6000600022 |
oct | 1634002644 |
9 | 555704721 |
10 | 242222500 |
11 | 114801393 |
12 | 69153084 |
13 | 3b24b630 |
14 | 24253712 |
15 | 163e996a |
hex | e7005a4 |
242222500 has 120 divisors (see below), whose sum is σ = 592404120. Its totient is φ = 86016000.
The previous prime is 242222467. The next prime is 242222509. The reversal of 242222500 is 5222242.
It can be written as a sum of positive squares in 20 ways, for example, as 226683136 + 15539364 = 15056^2 + 3942^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242222509) 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 39 ways as a sum of consecutive naturals, for example, 942372 + ... + 942628.
It is an arithmetic number, because the mean of its divisors is an integer number (4936701).
Almost surely, 2242222500 is an apocalyptic number.
242222500 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 242222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296202060).
242222500 is an abundant number, since it is smaller than the sum of its proper divisors (350181620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242222500 is a wasteful number, since it uses less digits than its factorization.
242222500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 323 (or 306 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 19.
The square root of 242222500 is about 15563.4989639220. The cubic root of 242222500 is about 623.3588946086.
Adding to 242222500 its reverse (5222242), we get a palindrome (247444742).
The spelling of 242222500 in words is "two hundred forty-two million, two hundred twenty-two thousand, five hundred".
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