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242260144 = 2474152757
BaseRepresentation
bin11100111000010…
…01100010110000
3121212212002102221
432130021202300
5444004311034
640012250424
76001114540
oct1634114260
9555762387
10242260144
111148276a5
1269170a14
133b2627c9
1424263320
1516405bb4
hexe7098b0

242260144 has 40 divisors (see below), whose sum is σ = 549527328. Its totient is φ = 101291520.

The previous prime is 242260121. The next prime is 242260163. The reversal of 242260144 is 441062242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21787 + ... + 30970.

Almost surely, 2242260144 is an apocalyptic number.

It is an amenable number.

242260144 is an abundant number, since it is smaller than the sum of its proper divisors (307267184).

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

242260144 is a wasteful number, since it uses less digits than its factorization.

242260144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52813 (or 52807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 242260144 is about 15564.7082850916. The cubic root of 242260144 is about 623.3911851771.

The spelling of 242260144 in words is "two hundred forty-two million, two hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 52757 105514 211028 369299 422056 738598 844112 1477196 2163037 2954392 4326074 5908784 8652148 15141259 17304296 30282518 34608592 60565036 121130072 242260144