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242217450 = 232522112551
BaseRepresentation
bin11100110111111…
…11000111101010
3121212202220212200
432123333013222
5444001424300
640011321030
76000546216
oct1633770752
9555686780
10242217450
111147a8612
1269150176
133b249247
1424251946
15163e8200
hexe6ff1ea

242217450 has 72 divisors (see below), whose sum is σ = 654098016. Its totient is φ = 64260000.

The previous prime is 242217449. The next prime is 242217467. The reversal of 242217450 is 54712242.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93675 + ... + 96225.

Almost surely, 2242217450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242217450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327049008).

242217450 is an abundant number, since it is smaller than the sum of its proper divisors (411880566).

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

242217450 is a wasteful number, since it uses less digits than its factorization.

242217450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242217450 is about 15563.3367244945. The cubic root of 242217450 is about 623.3545625251.

Adding to 242217450 its reverse (54712242), we get a palindrome (296929692).

The spelling of 242217450 in words is "two hundred forty-two million, two hundred seventeen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 211 225 422 450 633 1055 1266 1899 2110 2551 3165 3798 5102 5275 6330 7653 9495 10550 12755 15306 15825 18990 22959 25510 31650 38265 45918 47475 63775 76530 94950 114795 127550 191325 229590 382650 538261 573975 1076522 1147950 1614783 2691305 3229566 4844349 5382610 8073915 9688698 13456525 16147830 24221745 26913050 40369575 48443490 80739150 121108725 242217450