Search a number
-
+
225498 = 23721359
BaseRepresentation
bin110111000011011010
3102110022210
4313003122
524203443
64455550
71626300
oct670332
9373283
10225498
11144469
12aa5b6
137b840
145c270
1546c33
hex370da

225498 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 58464.

The previous prime is 225493. The next prime is 225499. The reversal of 225498 is 894522.

225498 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (225493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793 + ... + 3851.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2225498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

225498 is an abundant number, since it is smaller than the sum of its proper divisors (349062).

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

225498 is a wasteful number, since it uses less digits than its factorization.

225498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 225498 is about 474.8662969721. The cubic root of 225498 is about 60.8668600247.

The spelling of 225498 in words is "two hundred twenty-five thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 59 78 91 98 118 147 177 182 273 294 354 413 546 637 767 826 1239 1274 1534 1911 2301 2478 2891 3822 4602 5369 5782 8673 10738 16107 17346 32214 37583 75166 112749 225498