Search a number
-
+
2286627840 = 210335717139
BaseRepresentation
bin1000100001001011…
…0010110000000000
312220100200201201000
42020102302300000
514140334042330
61014522212000
7110444005320
oct21022626000
95810621630
102286627840
11a73818382
12539954000
132a5972733
1417998b280
15d5b2e560
hex884b2c00

2286627840 has 704 divisors, whose sum is σ = 9904204800. Its totient is φ = 488374272.

The previous prime is 2286627817. The next prime is 2286627853. The reversal of 2286627840 is 487266822.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450491 + ... + 16450629.

Almost surely, 22286627840 is an apocalyptic number.

2286627840 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 2286627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952102400).

2286627840 is an abundant number, since it is smaller than the sum of its proper divisors (7617576960).

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

2286627840 is a wasteful number, since it uses less digits than its factorization.

2286627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2286627840 is about 47818.6975983244. The cubic root of 2286627840 is about 1317.4429838010.

The spelling of 2286627840 in words is "two billion, two hundred eighty-six million, six hundred twenty-seven thousand, eight hundred forty".