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242422440 = 233513155399
BaseRepresentation
bin11100111001100…
…01001010101000
3121220011100001220
432130301022220
5444030004230
640015542040
76002361651
oct1634611250
9556140056
10242422440
11114928627
126922a920
133b2bb640
14242a6528
1516438d10
hexe7312a8

242422440 has 64 divisors (see below), whose sum is σ = 783216000. Its totient is φ = 59672832.

The previous prime is 242422429. The next prime is 242422441. The reversal of 242422440 is 44224242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242422440.

It is not an unprimeable number, because it can be changed into a prime (242422441) 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 15 ways as a sum of consecutive naturals, for example, 76140 + ... + 79259.

It is an arithmetic number, because the mean of its divisors is an integer number (12237750).

Almost surely, 2242422440 is an apocalyptic number.

242422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242422440 is an abundant number, since it is smaller than the sum of its proper divisors (540793560).

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

242422440 is a wasteful number, since it uses less digits than its factorization.

242422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155426 (or 155422 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242422440 is about 15569.9210017264. The cubic root of 242422440 is about 623.5303624400.

Adding to 242422440 its reverse (44224242), we get a palindrome (286646682).

The spelling of 242422440 in words is "two hundred forty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 155399 310798 466197 621596 776995 932394 1243192 1553990 1864788 2020187 2330985 3107980 3729576 4040374 4661970 6060561 6215960 8080748 9323940 10100935 12121122 16161496 18647880 20201870 24242244 30302805 40403740 48484488 60605610 80807480 121211220 242422440