Search a number
-
+
242257730 = 251121315401
BaseRepresentation
bin11100111000010…
…00111101000010
3121212211222010112
432130020331002
5444004221410
640012231322
76001104521
oct1634107502
9555758115
10242257730
11114825900
126916b542
133b261690
14242624b8
1516405105
hexe708f42

242257730 has 48 divisors (see below), whose sum is σ = 516213432. Its totient is φ = 81312000.

The previous prime is 242257711. The next prime is 242257739. The reversal of 242257730 is 37752242.

It can be written as a sum of positive squares in 4 ways, for example, as 220195921 + 22061809 = 14839^2 + 4697^2 .

It is not an unprimeable number, because it can be changed into a prime (242257739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8030 + ... + 23430.

Almost surely, 2242257730 is an apocalyptic number.

242257730 is an abundant number, since it is smaller than the sum of its proper divisors (273955702).

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

242257730 is a wasteful number, since it uses less digits than its factorization.

242257730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443 (or 15432 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 242257730 is about 15564.6307376693. The cubic root of 242257730 is about 623.3891145775.

The spelling of 242257730 in words is "two hundred forty-two million, two hundred fifty-seven thousand, seven hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1210 1430 1573 3146 7865 15401 15730 30802 77005 154010 169411 200213 338822 400426 847055 1001065 1694110 1863521 2002130 2202343 3727042 4404686 9317605 11011715 18635210 22023430 24225773 48451546 121128865 242257730