Search a number
-
+
2242406240 = 25556924631
BaseRepresentation
bin1000010110101000…
…0110011101100000
312210021111001001222
42011222012131200
514043023444430
61010302314212
7106366065344
oct20552063540
95707431058
102242406240
11a50863aa8
12526b88968
1329975b4c9
14173b59624
15d1ce69e5
hex85a86760

2242406240 has 48 divisors (see below), whose sum is σ = 5307210720. Its totient is φ = 895349760.

The previous prime is 2242406219. The next prime is 2242406291. The reversal of 2242406240 is 426042422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78725 + ... + 103355.

It is an arithmetic number, because the mean of its divisors is an integer number (110566890).

Almost surely, 22242406240 is an apocalyptic number.

2242406240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242406240 is an abundant number, since it is smaller than the sum of its proper divisors (3064804480).

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

2242406240 is a wasteful number, since it uses less digits than its factorization.

2242406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25215 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2242406240 is about 47354.0519913555. The cubic root of 2242406240 is about 1308.8948665700.

Adding to 2242406240 its reverse (426042422), we get a palindrome (2668448662).

The spelling of 2242406240 in words is "two billion, two hundred forty-two million, four hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 569 1138 2276 2845 4552 5690 9104 11380 18208 22760 24631 45520 49262 91040 98524 123155 197048 246310 394096 492620 788192 985240 1970480 3940960 14015039 28030078 56060156 70075195 112120312 140150390 224240624 280300780 448481248 560601560 1121203120 2242406240