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226032 = 24317277
BaseRepresentation
bin110111001011110000
3102111001120
4313023300
524213112
64502240
71630662
oct671360
9374046
10226032
11144904
12aa980
137bb61
145c532
1546e8c
hex372f0

226032 has 40 divisors (see below), whose sum is σ = 620496. Its totient is φ = 70656.

The previous prime is 226027. The next prime is 226063. The reversal of 226032 is 230622.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 678 + ... + 954.

2226032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310248).

226032 is an abundant number, since it is smaller than the sum of its proper divisors (394464).

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

226032 is a wasteful number, since it uses less digits than its factorization.

226032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 226032 is about 475.4282280219. The cubic root of 226032 is about 60.9148682559.

Adding to 226032 its reverse (230622), we get a palindrome (456654).

The spelling of 226032 in words is "two hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 277 408 554 816 831 1108 1662 2216 3324 4432 4709 6648 9418 13296 14127 18836 28254 37672 56508 75344 113016 226032