Search a number
-
+
2246258335104 = 27347149207721
BaseRepresentation
bin100000101011111111011…
…011100001110110000000
321221201222121100102210000
4200223333123201312000
5243300314113210404
64435530011440000
7321200242546560
oct40537733416600
97851877312700
102246258335104
117966a62a78a3
1230340b456000
13133a8a3a2064
147aa10396da0
153d66c5a0339
hex20aff6e1d80

2246258335104 has 320 divisors, whose sum is σ = 7691114772000. Its totient is φ = 637477724160.

The previous prime is 2246258335093. The next prime is 2246258335109. The reversal of 2246258335104 is 4015338526422.

2246258335104 is a `hidden beast` number, since 2 + 2 + 4 + 62 + 583 + 3 + 5 + 1 + 0 + 4 = 666.

2246258335104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2246258335104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246258335109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10709964 + ... + 10917684.

Almost surely, 22246258335104 is an apocalyptic number.

2246258335104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246258335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845557386000).

2246258335104 is an abundant number, since it is smaller than the sum of its proper divisors (5444856436896).

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

2246258335104 is a wasteful number, since it uses less digits than its factorization.

2246258335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207903 (or 207882 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2246258335104 in words is "two trillion, two hundred forty-six billion, two hundred fifty-eight million, three hundred thirty-five thousand, one hundred four".