Search a number
-
+
242130200 = 235213234049
BaseRepresentation
bin11100110111010…
…01110100011000
3121212121111012012
432123221310120
5443441131300
640005405052
76000033644
oct1633516430
9555544165
10242130200
11114749004
1269109788
133b218610
142422bc24
15163cc435
hexe6e9d18

242130200 has 96 divisors (see below), whose sum is σ = 632772000. Its totient is φ = 85493760.

The previous prime is 242130179. The next prime is 242130209. The reversal of 242130200 is 2031242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242130209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57776 + ... + 61824.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2242130200 is an apocalyptic number.

242130200 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 242130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316386000).

242130200 is an abundant number, since it is smaller than the sum of its proper divisors (390641800).

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

242130200 is a wasteful number, since it uses less digits than its factorization.

242130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 242130200 is about 15560.5334098803. The cubic root of 242130200 is about 623.2797066228.

Adding to 242130200 its reverse (2031242), we get a palindrome (244161442).

The spelling of 242130200 in words is "two hundred forty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 2300 2392 2600 2990 4049 4600 5980 7475 8098 11960 14950 16196 20245 29900 32392 40490 52637 59800 80980 93127 101225 105274 161960 186254 202450 210548 263185 372508 404900 421096 465635 526370 745016 809800 931270 1052740 1210651 1315925 1862540 2105480 2328175 2421302 2631850 3725080 4656350 4842604 5263700 6053255 9312700 9685208 10527400 12106510 18625400 24213020 30266275 48426040 60532550 121065100 242130200