Search a number
-
+
2298480968 = 23741044303
BaseRepresentation
bin1000100100000000…
…0000100101001000
312221011222221010202
42021000000211020
514201402342333
61020024231332
7110646523460
oct21100004510
95834887122
102298480968
11a7a483853
1254190b548
132a8262914
1417b394ba0
15d6bc15e8
hex89000948

2298480968 has 16 divisors (see below), whose sum is σ = 4925316480. Its totient is φ = 985063248.

The previous prime is 2298480967. The next prime is 2298481001. The reversal of 2298480968 is 8690848922.

It is a Harshad number since it is a multiple of its sum of digits (56), and also a Moran number because the ratio is a prime number: 41044303 = 2298480968 / (2 + 2 + 9 + 8 + 4 + 8 + 0 + 9 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (2298480967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20522096 + ... + 20522207.

It is an arithmetic number, because the mean of its divisors is an integer number (307832280).

Almost surely, 22298480968 is an apocalyptic number.

2298480968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2298480968 is an abundant number, since it is smaller than the sum of its proper divisors (2626835512).

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

2298480968 is a wasteful number, since it uses less digits than its factorization.

2298480968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41044316 (or 41044312 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The square root of 2298480968 is about 47942.4756140106. The cubic root of 2298480968 is about 1319.7154590234.

The spelling of 2298480968 in words is "two billion, two hundred ninety-eight million, four hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 41044303 82088606 164177212 287310121 328354424 574620242 1149240484 2298480968