Search a number
-
+
242033454 = 233131721193
BaseRepresentation
bin11100110110100…
…10001100101110
3121212102120111000
432123102030232
5443430032304
640003341130
75666151615
oct1633221456
9555376430
10242033454
11114692353
12690817a6
133b1b3580
142420487c
15163ad939
hexe6d232e

242033454 has 96 divisors (see below), whose sum is σ = 615817440. Its totient is φ = 70032384.

The previous prime is 242033423. The next prime is 242033479. The reversal of 242033454 is 454330242.

242033454 is a `hidden beast` number, since 2 + 4 + 203 + 3 + 454 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202282 + ... + 203474.

It is an arithmetic number, because the mean of its divisors is an integer number (6414765).

Almost surely, 2242033454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242033454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307908720).

242033454 is an abundant number, since it is smaller than the sum of its proper divisors (373783986).

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

242033454 is a wasteful number, since it uses less digits than its factorization.

242033454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 242033454 is about 15557.4244012304. The cubic root of 242033454 is about 623.1966826252.

Adding to 242033454 its reverse (454330242), we get a palindrome (696363696).

The spelling of 242033454 in words is "two hundred forty-two million, thirty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 289 306 351 442 459 578 663 702 867 918 1193 1326 1734 1989 2386 2601 3579 3757 3978 5202 5967 7158 7514 7803 10737 11271 11934 15509 15606 20281 21474 22542 31018 32211 33813 40562 46527 60843 64422 67626 93054 101439 121686 139581 182529 202878 263653 279162 344777 365058 418743 527306 547587 689554 790959 837486 1034331 1095174 1581918 2068662 2372877 3102993 4482101 4745754 6205986 7118631 8964202 9308979 13446303 14237262 18617958 26892606 40338909 80677818 121016727 242033454