Search a number
-
+
2288187980 = 2251356915467
BaseRepresentation
bin1000100001100010…
…1111101001001100
312220110121222210222
42020120233221030
514141234003410
61015015450512
7110463163661
oct21030575114
95813558728
102288187980
11a74693551
1253a386a38
132a609a8b0
14179c75a68
15d5d3b955
hex8862fa4c

2288187980 has 48 divisors (see below), whose sum is σ = 5184254880. Its totient is φ = 843330048.

The previous prime is 2288187977. The next prime is 2288188009. The reversal of 2288187980 is 897818822.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140207 + ... + 155673.

It is an arithmetic number, because the mean of its divisors is an integer number (108005310).

Almost surely, 22288187980 is an apocalyptic number.

2288187980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288187980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592127440).

2288187980 is an abundant number, since it is smaller than the sum of its proper divisors (2896066900).

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

2288187980 is a wasteful number, since it uses less digits than its factorization.

2288187980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16058 (or 16056 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 53.

The square root of 2288187980 is about 47835.0078917104. The cubic root of 2288187980 is about 1317.7425411055.

The spelling of 2288187980 in words is "two billion, two hundred eighty-eight million, one hundred eighty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 569 1138 2276 2845 5690 7397 11380 14794 15467 29588 30934 36985 61868 73970 77335 147940 154670 201071 309340 402142 804284 1005355 2010710 4021420 8800723 17601446 35202892 44003615 88007230 114409399 176014460 228818798 457637596 572046995 1144093990 2288187980