Search a number
-
+
2265782818208 = 25713778084759
BaseRepresentation
bin100000111110001011001…
…011100001010110100000
322000121101022002221110212
4200332023023201112200
5244110310400140313
64452515233113252
7322461132120050
oct40761313412640
98017338087425
102265782818208
117a3a05371a48
1230715a0b8828
1313587c3b7740
147b94345b560
153de116dc3a8
hex20f8b2e15a0

2265782818208 has 48 divisors (see below), whose sum is σ = 5490166066560. Its totient is φ = 896353641216.

The previous prime is 2265782818207. The next prime is 2265782818231. The reversal of 2265782818208 is 8028182875622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2265782818207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389039468 + ... + 389045291.

It is an arithmetic number, because the mean of its divisors is an integer number (114378459720).

Almost surely, 22265782818208 is an apocalyptic number.

2265782818208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2265782818208 is an abundant number, since it is smaller than the sum of its proper divisors (3224383248352).

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

2265782818208 is a wasteful number, since it uses less digits than its factorization.

2265782818208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778084789 (or 778084781 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 59.

The spelling of 2265782818208 in words is "two trillion, two hundred sixty-five billion, seven hundred eighty-two million, eight hundred eighteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 778084759 1556169518 3112339036 5446593313 6224678072 10115101867 10893186626 12449356144 20230203734 21786373252 24898712288 40460407468 43572746504 70805713069 80920814936 87145493008 141611426138 161841629872 174290986016 283222852276 323683259744 566445704552 1132891409104 2265782818208