Search a number
-
+
242130500 = 2253539137
BaseRepresentation
bin11100110111010…
…01111001000100
3121212121111121022
432123221321010
5443441134000
640005410312
76000034553
oct1633517104
9555544538
10242130500
11114749257
1269109998
133b2187b1
142422bd9a
15163cc585
hexe6e9e44

242130500 has 48 divisors (see below), whose sum is σ = 538849584. Its totient is φ = 95014400.

The previous prime is 242130487. The next prime is 242130503. The reversal of 242130500 is 5031242.

It can be written as a sum of positive squares in 8 ways, for example, as 132342016 + 109788484 = 11504^2 + 10478^2 .

It is not an unprimeable number, because it can be changed into a prime (242130503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21932 + ... + 31068.

It is an arithmetic number, because the mean of its divisors is an integer number (11226033).

Almost surely, 2242130500 is an apocalyptic number.

242130500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269424792).

242130500 is an abundant number, since it is smaller than the sum of its proper divisors (296719084).

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

242130500 is a wasteful number, since it uses less digits than its factorization.

242130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 242130500 is about 15560.5430496496. The cubic root of 242130500 is about 623.2799640378.

Adding to 242130500 its reverse (5031242), we get a palindrome (247161742).

The spelling of 242130500 in words is "two hundred forty-two million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 1060 1325 2650 5300 6625 9137 13250 18274 26500 36548 45685 91370 182740 228425 456850 484261 913700 968522 1142125 1937044 2284250 2421305 4568500 4842610 9685220 12106525 24213050 48426100 60532625 121065250 242130500