Search a number
-
+
242235440 = 2455357131
BaseRepresentation
bin11100111000000…
…11100000110000
3121212210211112222
432130003200300
5444003013230
640011540212
76000652526
oct1634034060
9555724488
10242235440
11114810087
126915a668
133b2544a5
1424258316
15163ed6e5
hexe703830

242235440 has 40 divisors (see below), whose sum is σ = 573833808. Its totient is φ = 95064320.

The previous prime is 242235419. The next prime is 242235473. The reversal of 242235440 is 44532242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24326 + ... + 32805.

Almost surely, 2242235440 is an apocalyptic number.

242235440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242235440 is an abundant number, since it is smaller than the sum of its proper divisors (331598368).

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

242235440 is a wasteful number, since it uses less digits than its factorization.

242235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57197 (or 57191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 242235440 is about 15563.9146746569. The cubic root of 242235440 is about 623.3699947616.

Adding to 242235440 its reverse (44532242), we get a palindrome (286767682).

The spelling of 242235440 in words is "two hundred forty-two million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 57131 114262 228524 285655 457048 571310 914096 1142620 2285240 3027943 4570480 6055886 12111772 15139715 24223544 30279430 48447088 60558860 121117720 242235440