Search a number
-
+
242522340 = 223517237767
BaseRepresentation
bin11100111010010…
…01100011100100
3121220100102002220
432131021203210
5444041203330
640022032340
76003256134
oct1635114344
9556312086
10242522340
11114996695
12692786b0
133b324c58
14242d0ac4
1516458710
hexe7498e4

242522340 has 48 divisors (see below), whose sum is σ = 719010432. Its totient is φ = 60868096.

The previous prime is 242522333. The next prime is 242522347. The reversal of 242522340 is 43225242.

It is a happy number.

242522340 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 (242522333) and next prime (242522347).

It is a self number, because there is not a number n which added to its sum of digits gives 242522340.

It is not an unprimeable number, because it can be changed into a prime (242522347) 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, 117864 + ... + 119903.

It is an arithmetic number, because the mean of its divisors is an integer number (14979384).

Almost surely, 2242522340 is an apocalyptic number.

242522340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242522340 is an abundant number, since it is smaller than the sum of its proper divisors (476488092).

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

242522340 is a wasteful number, since it uses less digits than its factorization.

242522340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237796 (or 237794 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242522340 is about 15573.1287800493. The cubic root of 242522340 is about 623.6160010037.

Adding to 242522340 its reverse (43225242), we get a palindrome (285747582).

The spelling of 242522340 in words is "two hundred forty-two million, five hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 237767 475534 713301 951068 1188835 1426602 2377670 2853204 3566505 4042039 4755340 7133010 8084078 12126117 14266020 16168156 20210195 24252234 40420390 48504468 60630585 80840780 121261170 242522340