Search a number
-
+
2287888002 = 2321960111131
BaseRepresentation
bin1000100001011110…
…0110011010000010
312220110001202022200
42020113212122002
514141144404002
61015005214030
7110460504261
oct21027463202
95813052280
102287888002
11a744a9134
1253a261316
132a5cc41aa
14179bd85d8
15d5cccb1c
hex885e6682

2287888002 has 48 divisors (see below), whose sum is σ = 5227141920. Its totient is φ = 721224000.

The previous prime is 2287887991. The next prime is 2287888037. The reversal of 2287888002 is 2008887822.

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 23 ways as a sum of consecutive naturals, for example, 199977 + ... + 211107.

It is an arithmetic number, because the mean of its divisors is an integer number (108898790).

Almost surely, 22287888002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287888002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613570960).

2287888002 is an abundant number, since it is smaller than the sum of its proper divisors (2939253918).

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

2287888002 is a wasteful number, since it uses less digits than its factorization.

2287888002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759 (or 11756 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2287888002 is about 47831.8722401706. The cubic root of 2287888002 is about 1317.6849539010.

The spelling of 2287888002 in words is "two billion, two hundred eighty-seven million, eight hundred eighty-eight thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 601 1202 1803 3606 5409 10818 11131 11419 22262 22838 33393 34257 66786 68514 100179 102771 200358 205542 211489 422978 634467 1268934 1903401 3806802 6689731 13379462 20069193 40138386 60207579 120415158 127104889 254209778 381314667 762629334 1143944001 2287888002