Search a number
-
+
2287428000 = 2535311133143
BaseRepresentation
bin1000100001010111…
…0110000110100000
312220102012101022120
42020111312012200
514141040144000
61014551304240
7110453550204
oct21025660640
95812171276
102287428000
11a74214570
1253a07b080
132a5b929c0
14179b18b04
15d5c3b6a0
hex885761a0

2287428000 has 768 divisors, whose sum is σ = 9299017728. Its totient is φ = 483840000.

The previous prime is 2287427981. The next prime is 2287428029. The reversal of 2287428000 is 8247822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53195979 + ... + 53196021.

It is an arithmetic number, because the mean of its divisors is an integer number (12108096).

Almost surely, 22287428000 is an apocalyptic number.

2287428000 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 2287428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649508864).

2287428000 is an abundant number, since it is smaller than the sum of its proper divisors (7011589728).

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

2287428000 is a wasteful number, since it uses less digits than its factorization.

2287428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2287428000 is about 47827.0634682917. The cubic root of 2287428000 is about 1317.5966368823.

The spelling of 2287428000 in words is "two billion, two hundred eighty-seven million, four hundred twenty-eight thousand".