Search a number
-
+
2224024240144 = 247193133713683
BaseRepresentation
bin100000010111010010001…
…011001100000000010000
321212121121001222101101111
4200113102023030000100
5242414300201141034
64421411433543104
7316452252061360
oct40272213140020
97777531871344
102224024240144
11788226781203
122bb045274a94
13131955bb8c55
14799014ba9a0
153ccba630364
hex205d22cc010

2224024240144 has 80 divisors (see below), whose sum is σ = 5351035924480. Its totient is φ = 873858637440.

The previous prime is 2224024240111. The next prime is 2224024240169. The reversal of 2224024240144 is 4410424204222.

It is a super-2 number, since 2×22240242401442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 15 ways as a sum of consecutive naturals, for example, 16790874 + ... + 16922809.

It is an arithmetic number, because the mean of its divisors is an integer number (66887949056).

Almost surely, 22224024240144 is an apocalyptic number.

It is an amenable number.

2224024240144 is an abundant number, since it is smaller than the sum of its proper divisors (3127011684336).

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

2224024240144 is a wasteful number, since it uses less digits than its factorization.

2224024240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33713748 (or 33713742 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 2224024240144 its reverse (4410424204222), we get a palindrome (6634448444366).

The spelling of 2224024240144 in words is "two trillion, two hundred twenty-four billion, twenty-four million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1736 2128 2356 3472 4123 4712 8246 9424 16492 32984 65968 33713683 67427366 134854732 235995781 269709464 471991562 539418928 640559977 943983124 1045124173 1281119954 1887966248 2090248346 2562239908 3775932496 4180496692 4483919839 5124479816 7315869211 8360993384 8967839678 10248959632 14631738422 16721986768 17935679356 19857359287 29263476844 35871358712 39714718574 58526953688 71742717424 79429437148 117053907376 139001515009 158858874296 278003030018 317717748592 556006060036 1112012120072 2224024240144