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242272023 = 3727272267
BaseRepresentation
bin11100111000011…
…00011100010111
3121212212200201220
432130030130113
5444010201043
640012421423
76001164300
oct1634143427
9555780656
10242272023
11114835614
1269177873
133b268036
14242677a7
1516409483
hexe70c717

242272023 has 24 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 138189744.

The previous prime is 242272007. The next prime is 242272027. The reversal of 242272023 is 320272242.

It is a happy number.

It is not a de Polignac number, because 242272023 - 24 = 242272007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242271984 and 242272002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242272027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105736 + ... + 108002.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2242272023 is an apocalyptic number.

242272023 is a deficient number, since it is larger than the sum of its proper divisors (134179689).

242272023 is a wasteful number, since it uses less digits than its factorization.

242272023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 242272023 is about 15565.0898808841. The cubic root of 242272023 is about 623.4013741455.

The spelling of 242272023 in words is "two hundred forty-two million, two hundred seventy-two thousand, twenty-three".

Divisors: 1 3 7 21 49 147 727 2181 2267 5089 6801 15267 15869 35623 47607 106869 111083 333249 1648109 4944327 11536763 34610289 80757341 242272023