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242255016 = 23331959029
BaseRepresentation
bin11100111000010…
…00010010101000
3121212211211102000
432130020102220
5444004130031
640012211000
76001063563
oct1634102250
9555754360
10242255016
11114823863
1269169a60
133b260383
14242614da
15164043e6
hexe7084a8

242255016 has 64 divisors (see below), whose sum is σ = 708360000. Its totient is φ = 76500288.

The previous prime is 242254949. The next prime is 242255017. The reversal of 242255016 is 610552242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242255017) 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 15 ways as a sum of consecutive naturals, for example, 25411 + ... + 33618.

It is an arithmetic number, because the mean of its divisors is an integer number (11068125).

Almost surely, 2242255016 is an apocalyptic number.

It is an amenable number.

242255016 is an abundant number, since it is smaller than the sum of its proper divisors (466104984).

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

242255016 is a wasteful number, since it uses less digits than its factorization.

242255016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59063 (or 59053 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 242255016 is about 15564.5435525749. The cubic root of 242255016 is about 623.3867866375.

It can be divided in two parts, 24225 and 5016, that added together give a square (29241 = 1712).

The spelling of 242255016 in words is "two hundred forty-two million, two hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 59029 118058 177087 236116 354174 472232 531261 708348 1062522 1121551 1416696 1593783 2125044 2243102 3187566 3364653 4250088 4486204 6375132 6729306 8972408 10093959 12750264 13458612 20187918 26917224 30281877 40375836 60563754 80751672 121127508 242255016