Search a number
-
+
289870224 = 24374320063
BaseRepresentation
bin10001010001110…
…001000110010000
3202012102221012020
4101101301012100
51043201321344
644432531440
710116566460
oct2121610620
9665387166
10289870224
11139695876
12810b0b80
1348092157
142a6d7ba0
151a6ac719
hex11471190

289870224 has 80 divisors (see below), whose sum is σ = 875753472. Its totient is φ = 80889984.

The previous prime is 289870223. The next prime is 289870237. The reversal of 289870224 is 422078982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (289870223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4417 + ... + 24479.

Almost surely, 2289870224 is an apocalyptic number.

289870224 is a gapful number since it is divisible by the number (24) 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 289870224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437876736).

289870224 is an abundant number, since it is smaller than the sum of its proper divisors (585883248).

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

289870224 is a wasteful number, since it uses less digits than its factorization.

289870224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20124 (or 20118 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 289870224 is about 17025.5755849839. The cubic root of 289870224 is about 661.8118443129.

The spelling of 289870224 in words is "two hundred eighty-nine million, eight hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 20063 40126 60189 80252 120378 140441 160504 240756 280882 321008 421323 481512 561764 842646 862709 963024 1123528 1685292 1725418 2247056 2588127 3370584 3450836 5176254 6038963 6741168 6901672 10352508 12077926 13803344 18116889 20705016 24155852 36233778 41410032 48311704 72467556 96623408 144935112 289870224