Search a number
-
+
242291574 = 23472131233
BaseRepresentation
bin11100111000100…
…01001101110110
3121212220200120000
432130101031312
5444011312244
640013052130
76001305300
oct1634211566
9555820500
10242291574
11114849278
1269187046
133b273bc5
1424270970
1516410169
hexe711376

242291574 has 120 divisors (see below), whose sum is σ = 639103608. Its totient is φ = 68402880.

The previous prime is 242291501. The next prime is 242291597. The reversal of 242291574 is 475192242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1039762 + ... + 1039994.

Almost surely, 2242291574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242291574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319551804).

242291574 is an abundant number, since it is smaller than the sum of its proper divisors (396812034).

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

242291574 is a wasteful number, since it uses less digits than its factorization.

242291574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 242291574 is about 15565.7179082752. The cubic root of 242291574 is about 623.4181428893.

The spelling of 242291574 in words is "two hundred forty-two million, two hundred ninety-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 131 147 162 189 233 262 294 378 393 441 466 567 699 786 882 917 1134 1179 1323 1398 1631 1834 2097 2358 2646 2751 3262 3537 3969 4194 4893 5502 6291 6419 7074 7938 8253 9786 10611 11417 12582 12838 14679 16506 18873 19257 21222 22834 24759 29358 30523 34251 37746 38514 44037 49518 57771 61046 68502 74277 88074 91569 102753 115542 132111 148554 173313 183138 205506 213661 264222 274707 308259 346626 427322 519939 549414 616518 640983 824121 924777 1039878 1281966 1495627 1648242 1849554 1922949 2472363 2991254 3845898 4486881 4944726 5768847 8973762 11537694 13460643 17306541 26921286 34613082 40381929 80763858 121145787 242291574