Search a number
-
+
2225506723856 = 2413167128349937
BaseRepresentation
bin100000011000101010100…
…010011010100000010000
321212202102101112100201122
4200120222202122200100
5242430314210130411
64422214512421412
7316534063013333
oct40305242324020
97782371470648
102225506723856
11788917588159
122bb399847868
13131b31087450
1479a0234061a
153cd558699db
hex2062a89a810

2225506723856 has 80 divisors (see below), whose sum is σ = 4675146021504. Its totient is φ = 1020190083072.

The previous prime is 2225506723837. The next prime is 2225506723871. The reversal of 2225506723856 is 6583276055222.

It is a junction number, because it is equal to n+sod(n) for n = 2225506723798 and 2225506723807.

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, 44541320 + ... + 44591256.

Almost surely, 22225506723856 is an apocalyptic number.

2225506723856 is a gapful number since it is divisible by the number (26) 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 2225506723856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337573010752).

2225506723856 is an abundant number, since it is smaller than the sum of its proper divisors (2449639297648).

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

2225506723856 is a wasteful number, since it uses less digits than its factorization.

2225506723856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51408 (or 51402 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 53.

The spelling of 2225506723856 in words is "two trillion, two hundred twenty-five billion, five hundred six million, seven hundred twenty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 668 1283 1336 2171 2566 2672 4342 5132 8684 10264 16679 17368 20528 33358 34736 49937 66716 99874 133432 199748 214261 266864 399496 428522 649181 798992 857044 1298362 1714088 2596724 2785393 3428176 5193448 5570786 8339479 10386896 11141572 16678958 22283144 33357916 44566288 64069171 66715832 108413227 128138342 133431664 216826454 256276684 433652908 512553368 832899223 867305816 1025106736 1665798446 1734611632 3331596892 6663193784 10699551557 13326387568 21399103114 42798206228 85596412456 139094170241 171192824912 278188340482 556376680964 1112753361928 2225506723856