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242441300 = 22528212953
BaseRepresentation
bin11100111001101…
…01110001010100
3121220012021221102
432130311301110
5444031110200
640020205232
76002500643
oct1634656124
9556167842
10242441300
11114940812
1269239818
133b2c70ba
14242ad35a
151643e6d5
hexe735c54

242441300 has 36 divisors (see below), whose sum is σ = 526916796. Its totient is φ = 96825600.

The previous prime is 242441293. The next prime is 242441317. The reversal of 242441300 is 3144242.

It can be written as a sum of positive squares in 6 ways, for example, as 1943236 + 240498064 = 1394^2 + 15508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80624 + ... + 83576.

Almost surely, 2242441300 is an apocalyptic number.

242441300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242441300 is an abundant number, since it is smaller than the sum of its proper divisors (284475496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242441300 is a wasteful number, since it uses less digits than its factorization.

242441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242441300 is about 15570.5266449147. The cubic root of 242441300 is about 623.5465318420.

Adding to 242441300 its reverse (3144242), we get a palindrome (245585542).

The spelling of 242441300 in words is "two hundred forty-two million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 821 1642 2953 3284 4105 5906 8210 11812 14765 16420 20525 29530 41050 59060 73825 82100 147650 295300 2424413 4848826 9697652 12122065 24244130 48488260 60610325 121220650 242441300