Search a number
-
+
242231250 = 235512919
BaseRepresentation
bin11100111000000…
…10011111010010
3121212210121210210
432130002133102
5444002400000
640011504550
76000634362
oct1634023722
9555717723
10242231250
11114807a18
1269158156
133b252601
14242569a2
15163ec350
hexe7027d2

242231250 has 48 divisors (see below), whose sum is σ = 605586240. Its totient is φ = 64590000.

The previous prime is 242231243. The next prime is 242231257. The reversal of 242231250 is 52132242.

242231250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242231243) and next prime (242231257).

It is not an unprimeable number, because it can be changed into a prime (242231257) 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, 12291 + ... + 25209.

It is an arithmetic number, because the mean of its divisors is an integer number (12616380).

Almost surely, 2242231250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242231250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

242231250 is an abundant number, since it is smaller than the sum of its proper divisors (363354990).

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

242231250 is an equidigital number, since it uses as much as digits as its factorization.

242231250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242231250 is about 15563.7800678370. The cubic root of 242231250 is about 623.3664005513.

Adding to 242231250 its reverse (52132242), we get a palindrome (294363492).

The spelling of 242231250 in words is "two hundred forty-two million, two hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1250 1875 3125 3750 6250 9375 12919 18750 25838 38757 64595 77514 129190 193785 322975 387570 645950 968925 1614875 1937850 3229750 4844625 8074375 9689250 16148750 24223125 40371875 48446250 80743750 121115625 242231250