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226974 = 231119181
BaseRepresentation
bin110111011010011110
3102112100110
4313122132
524230344
64510450
71633506
oct673236
9375313
10226974
11145590
12ab426
137c407
145ca06
15473b9
hex3769e

226974 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 64800.

The previous prime is 226943. The next prime is 226991. The reversal of 226974 is 479622.

It is a happy number.

Its product of digits (6048) is a multiple of the sum of its prime divisors (216).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226974.

It is an unprimeable number.

226974 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, 1164 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2226974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

226974 is an abundant number, since it is smaller than the sum of its proper divisors (297186).

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

226974 is a wasteful number, since it uses less digits than its factorization.

226974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its digits is 6048, while the sum is 30.

The square root of 226974 is about 476.4178837953. The cubic root of 226974 is about 60.9993729220. Note that the first 3 decimals are identical.

It can be divided in two parts, 22 and 6974, that added together give a palindrome (6996).

The spelling of 226974 in words is "two hundred twenty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 181 209 362 418 543 627 1086 1254 1991 3439 3982 5973 6878 10317 11946 20634 37829 75658 113487 226974