Search a number
-
+
2288442632 = 237110337049
BaseRepresentation
bin1000100001100110…
…1101110100001000
312220111002221010112
42020121231310020
514141320131012
61015025133452
7110465304260
oct21031556410
95814087115
102288442632
11a74847903
1253a48a288
132a6159788
14179d007a0
15d5d8c122
hex8866dd08

2288442632 has 32 divisors (see below), whose sum is σ = 4908384000. Its totient is φ = 979845504.

The previous prime is 2288442619. The next prime is 2288442649. The reversal of 2288442632 is 2362448822.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2288442632.

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 7 ways as a sum of consecutive naturals, for example, 43244 + ... + 80292.

It is an arithmetic number, because the mean of its divisors is an integer number (153387000).

Almost surely, 22288442632 is an apocalyptic number.

It is an amenable number.

2288442632 is an abundant number, since it is smaller than the sum of its proper divisors (2619941368).

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

2288442632 is a wasteful number, since it uses less digits than its factorization.

2288442632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38165 (or 38161 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 2288442632 is about 47837.6695920694. The cubic root of 2288442632 is about 1317.7914230634.

The spelling of 2288442632 in words is "two billion, two hundred eighty-eight million, four hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 1103 2206 4412 7721 8824 15442 30884 37049 61768 74098 148196 259343 296392 518686 1037372 2074744 40865047 81730094 163460188 286055329 326920376 572110658 1144221316 2288442632