Search a number
-
+
242530500 = 22353179511
BaseRepresentation
bin11100111010010…
…11100011000100
3121220100211022010
432131023203010
5444041434000
640022134220
76003322002
oct1635134304
9556324263
10242530500
111149a1833
1269281370
133b328894
14242d3a72
151645ad50
hexe74b8c4

242530500 has 96 divisors (see below), whose sum is σ = 747871488. Its totient is φ = 60864000.

The previous prime is 242530489. The next prime is 242530513. The reversal of 242530500 is 5035242.

242530500 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20745 + ... + 30255.

It is an arithmetic number, because the mean of its divisors is an integer number (7790328).

Almost surely, 2242530500 is an apocalyptic number.

242530500 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 242530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373935744).

242530500 is an abundant number, since it is smaller than the sum of its proper divisors (505340988).

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

242530500 is a wasteful number, since it uses less digits than its factorization.

242530500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 242530500 is about 15573.3907675882. The cubic root of 242530500 is about 623.6229950666.

Adding to 242530500 its reverse (5035242), we get a palindrome (247565742).

The spelling of 242530500 in words is "two hundred forty-two million, five hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 125 150 170 204 250 255 300 340 375 425 500 510 750 850 1020 1275 1500 1700 2125 2550 4250 5100 6375 8500 9511 12750 19022 25500 28533 38044 47555 57066 95110 114132 142665 161687 190220 237775 285330 323374 475550 485061 570660 646748 713325 808435 951100 970122 1188875 1426650 1616870 1940244 2377750 2425305 2853300 3233740 3566625 4042175 4755500 4850610 7133250 8084350 9701220 12126525 14266500 16168700 20210875 24253050 40421750 48506100 60632625 80843500 121265250 242530500