Search a number
-
+
2284541532 = 223271317219127
BaseRepresentation
bin1000100000101011…
…0101011001011100
312220012202201211100
42020022311121130
514134320312112
61014405353100
7110420165640
oct21012653134
95805681740
102284541532
11a72622959
12539108790
132a53c1c30
141795a6c20
15d586b2dc
hex882b565c

2284541532 has 432 divisors, whose sum is σ = 8010096640. Its totient is φ = 532998144.

The previous prime is 2284541527. The next prime is 2284541533. The reversal of 2284541532 is 2351454822.

2284541532 is a `hidden beast` number, since 2 + 2 + 84 + 5 + 41 + 532 = 666.

It is a super-2 number, since 2×22845415322 = 10438260022865814048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284541533) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17988453 + ... + 17988579.

Almost surely, 22284541532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284541532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005048320).

2284541532 is an abundant number, since it is smaller than the sum of its proper divisors (5725555108).

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

2284541532 is a wasteful number, since it uses less digits than its factorization.

2284541532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 2284541532 is about 47796.8778478260. The cubic root of 2284541532 is about 1317.0421857136.

The spelling of 2284541532 in words is "two billion, two hundred eighty-four million, five hundred forty-one thousand, five hundred thirty-two".