Search a number
-
+
2286567198 = 233193316733
BaseRepresentation
bin1000100001001010…
…0011111100011110
312220100120122112000
42020102203330132
514140330122243
61014521023130
7110443333446
oct21022437436
95810518460
102286567198
11a73786863
12539924aa6
132a5950c56
14179973126
15d5b1b5d3
hex884a3f1e

2286567198 has 64 divisors (see below), whose sum is σ = 5365651200. Its totient is φ = 719785440.

The previous prime is 2286567187. The next prime is 2286567203. The reversal of 2286567198 is 8917656822.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336240 + ... + 342972.

It is an arithmetic number, because the mean of its divisors is an integer number (83838300).

Almost surely, 22286567198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286567198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682825600).

2286567198 is an abundant number, since it is smaller than the sum of its proper divisors (3079084002).

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

2286567198 is a wasteful number, since it uses less digits than its factorization.

2286567198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7088 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2286567198 is about 47818.0635116062. The cubic root of 2286567198 is about 1317.4313373811.

The spelling of 2286567198 in words is "two billion, two hundred eighty-six million, five hundred sixty-seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 331 342 513 662 993 1026 1986 2979 5958 6289 6733 8937 12578 13466 17874 18867 20199 37734 40398 56601 60597 113202 121194 127927 169803 181791 255854 339606 363582 383781 767562 1151343 2228623 2302686 3454029 4457246 6685869 6908058 13371738 20057607 40115214 42343837 60172821 84687674 120345642 127031511 254063022 381094533 762189066 1143283599 2286567198