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242794422 = 2351383463
BaseRepresentation
bin11100111100010…
…11111110110110
3121220212020100000
432132023332312
5444123410142
640031532130
76005501313
oct1636137666
9556766300
10242794422
11115062052
126938a046
133b3bba50
1424361d0a
15164ae14c
hexe78bfb6

242794422 has 96 divisors (see below), whose sum is σ = 595865088. Its totient is φ = 73646496.

The previous prime is 242794411. The next prime is 242794427. The reversal of 242794422 is 224497242.

Its product of digits (64512) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242794427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 524163 + ... + 524625.

It is an arithmetic number, because the mean of its divisors is an integer number (6206928).

Almost surely, 2242794422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242794422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297932544).

242794422 is an abundant number, since it is smaller than the sum of its proper divisors (353070666).

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

242794422 is a wasteful number, since it uses less digits than its factorization.

242794422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 242794422 is about 15581.8619554917. The cubic root of 242794422 is about 623.8491221758.

The spelling of 242794422 in words is "two hundred forty-two million, seven hundred ninety-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 83 117 162 166 234 243 249 351 463 486 498 702 747 926 1053 1079 1389 1494 2106 2158 2241 2778 3159 3237 4167 4482 6019 6318 6474 6723 8334 9711 12038 12501 13446 18057 19422 20169 25002 29133 36114 37503 38429 40338 54171 58266 75006 76858 87399 108342 112509 115287 162513 174798 225018 230574 262197 325026 345861 487539 499577 524394 691722 975078 999154 1037583 1462617 1498731 2075166 2925234 2997462 3112749 4496193 6225498 8992386 9338247 13488579 18676494 26977158 40465737 80931474 121397211 242794422