Search a number
-
+
2286755440 = 24528584443
BaseRepresentation
bin1000100001001101…
…0001111001110000
312220100221012201221
42020103101321300
514140402133230
61014525034424
7110445046324
oct21023217160
95810835657
102286755440
11a738a5232
125399b5a14
132a59b8838
141799c1984
15d5b5727a
hex884d1e70

2286755440 has 20 divisors (see below), whose sum is σ = 5316706584. Its totient is φ = 914702144.

The previous prime is 2286755423. The next prime is 2286755461. The reversal of 2286755440 is 445576822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14292142 + ... + 14292301.

Almost surely, 22286755440 is an apocalyptic number.

2286755440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286755440 is an abundant number, since it is smaller than the sum of its proper divisors (3029951144).

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

2286755440 is a wasteful number, since it uses less digits than its factorization.

2286755440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28584456 (or 28584450 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The square root of 2286755440 is about 47820.0317858531. The cubic root of 2286755440 is about 1317.4674889690.

The spelling of 2286755440 in words is "two billion, two hundred eighty-six million, seven hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28584443 57168886 114337772 142922215 228675544 285844430 457351088 571688860 1143377720 2286755440