Search a number
-
+
2230431315440 = 24575293703067
BaseRepresentation
bin100000011101010000000…
…100001111010111110000
321220020010121000112101112
4200131100010033113300
5243020410404043230
64424351311452452
7320100111240236
oct40352004172760
97806117015345
102230431315440
1178aa1436a759
12300332b27128
13132437402873
1479d4c3b2956
153d042d77d95
hex2075010f5f0

2230431315440 has 40 divisors (see below), whose sum is σ = 5186442979440. Its totient is φ = 892053787136.

The previous prime is 2230431315389. The next prime is 2230431315451. The reversal of 2230431315440 is 445131340322.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230431315397 and 2230431315406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249214 + ... + 2453853.

It is an arithmetic number, because the mean of its divisors is an integer number (129661074486).

Almost surely, 22230431315440 is an apocalyptic number.

2230431315440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230431315440 is an abundant number, since it is smaller than the sum of its proper divisors (2956011664000).

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

2230431315440 is a wasteful number, since it uses less digits than its factorization.

2230431315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710609 (or 3710603 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 2230431315440 its reverse (445131340322), we get a palindrome (2675562655762).

The spelling of 2230431315440 in words is "two trillion, two hundred thirty billion, four hundred thirty-one million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7529 15058 30116 37645 60232 75290 120464 150580 301160 602320 3703067 7406134 14812268 18515335 29624536 37030670 59249072 74061340 148122680 296245360 27880391443 55760782886 111521565772 139401957215 223043131544 278803914430 446086263088 557607828860 1115215657720 2230431315440