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225774 = 23337113
BaseRepresentation
bin110111000111101110
3102110201000
4313013232
524211044
64501130
71630143
oct670756
9373630
10225774
1114469a
12aa7a6
137b9c3
145c3ca
1546d69
hex371ee

225774 has 32 divisors (see below), whose sum is σ = 519840. Its totient is φ = 72576.

The previous prime is 225769. The next prime is 225779. The reversal of 225774 is 477522.

It is an interprime number because it is at equal distance from previous prime (225769) and next prime (225779).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225779) by changing a digit.

225774 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (16245).

2225774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259920).

225774 is an abundant number, since it is smaller than the sum of its proper divisors (294066).

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

225774 is a wasteful number, since it uses less digits than its factorization.

225774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 225774 is about 475.1568162197. The cubic root of 225774 is about 60.8916827196.

It can be divided in two parts, 225 and 774, that added together give a palindrome (999).

The spelling of 225774 in words is "two hundred twenty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 113 222 226 333 339 666 678 999 1017 1998 2034 3051 4181 6102 8362 12543 25086 37629 75258 112887 225774