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242331525 = 325241109241
BaseRepresentation
bin11100111000110…
…10111110000101
3121212222201100200
432130122332011
5444014102100
640014001113
76001532622
oct1634327605
9555881320
10242331525
11114876297
12691a6199
133b289147
1424281349
151641be00
hexe71af85

242331525 has 72 divisors (see below), whose sum is σ = 450570120. Its totient is φ = 124416000.

The previous prime is 242331521. The next prime is 242331539. The reversal of 242331525 is 525133242.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 73513476 + 168818049 = 8574^2 + 12993^2 .

It is not a de Polignac number, because 242331525 - 22 = 242331521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242331521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1005405 + ... + 1005645.

Almost surely, 2242331525 is an apocalyptic number.

242331525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242331525 is a deficient number, since it is larger than the sum of its proper divisors (208238595).

242331525 is a wasteful number, since it uses less digits than its factorization.

242331525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 242331525 is about 15567.0011562921. The cubic root of 242331525 is about 623.4524057529.

Adding to 242331525 its reverse (525133242), we get a palindrome (767464767).

The spelling of 242331525 in words is "two hundred forty-two million, three hundred thirty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 109 123 205 225 241 327 369 545 615 723 981 1025 1205 1635 1845 2169 2725 3075 3615 4469 4905 6025 8175 9225 9881 10845 13407 18075 22345 24525 26269 29643 40221 49405 54225 67035 78807 88929 111725 131345 148215 201105 236421 247025 335175 394035 444645 656725 741075 1005525 1077029 1182105 1970175 2223225 3231087 5385145 5910525 9693261 16155435 26925725 48466305 80777175 242331525