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242005725 = 34521329317
BaseRepresentation
bin11100110110010…
…11011011011101
3121212101011110000
432123023123131
5443423140400
640003004513
75666005023
oct1633133335
9555334400
10242005725
11114673535
1269069739
133b1a3a70
14241d8713
15163a5600
hexe6cb6dd

242005725 has 120 divisors (see below), whose sum is σ = 500983560. Its totient is φ = 114670080.

The previous prime is 242005723. The next prime is 242005823. The reversal of 242005725 is 527500242.

It can be written as a sum of positive squares in 12 ways, for example, as 169364196 + 72641529 = 13014^2 + 8523^2 .

It is not a de Polignac number, because 242005725 - 21 = 242005723 is a prime.

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242005723) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 763267 + ... + 763583.

It is an arithmetic number, because the mean of its divisors is an integer number (4174863).

Almost surely, 2242005725 is an apocalyptic number.

242005725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242005725 is an abundant number, since it is smaller than the sum of its proper divisors (258977835).

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

242005725 is a wasteful number, since it uses less digits than its factorization.

242005725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 242005725 is about 15556.5331934850. The cubic root of 242005725 is about 623.1728824983.

Adding to 242005725 its reverse (527500242), we get a palindrome (769505967).

The spelling of 242005725 in words is "two hundred forty-two million, five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 29 39 45 65 75 81 87 117 135 145 195 225 261 317 325 351 377 405 435 585 675 725 783 951 975 1053 1131 1305 1585 1755 1885 2025 2175 2349 2853 2925 3393 3915 4121 4755 5265 5655 6525 7925 8559 8775 9193 9425 10179 11745 12363 14265 16965 19575 20605 23775 25677 26325 27579 28275 30537 37089 42795 45965 50895 58725 61815 71325 82737 84825 103025 111267 119509 128385 137895 152685 185445 213975 229825 248211 254475 309075 333801 358527 413685 556335 597545 641925 689475 744633 763425 927225 1075581 1241055 1669005 1792635 2068425 2781675 2987725 3226743 3723165 5377905 6205275 8345025 8963175 9680229 16133715 18615825 26889525 48401145 80668575 242005725