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226350 = 23252503
BaseRepresentation
bin110111010000101110
3102111111100
4313100232
524220400
64503530
71631625
oct672056
9374440
10226350
11145073
12aaba6
137c047
145c6bc
1547100
hex3742e

226350 has 36 divisors (see below), whose sum is σ = 609336. Its totient is φ = 60240.

The previous prime is 226337. The next prime is 226357. The reversal of 226350 is 53622.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226357) by changing a digit.

226350 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 17 ways as a sum of consecutive naturals, for example, 199 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2226350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

226350 is an abundant number, since it is smaller than the sum of its proper divisors (382986).

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

226350 is a wasteful number, since it uses less digits than its factorization.

226350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 226350 is about 475.7625458146. The cubic root of 226350 is about 60.9434215153.

Adding to 226350 its reverse (53622), we get a palindrome (279972).

It can be divided in two parts, 226 and 350, that added together give a square (576 = 242).

The spelling of 226350 in words is "two hundred twenty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 503 1006 1509 2515 3018 4527 5030 7545 9054 12575 15090 22635 25150 37725 45270 75450 113175 226350