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226320 = 24352341
BaseRepresentation
bin110111010000010000
3102111110020
4313100100
524220240
64503440
71631553
oct672020
9374406
10226320
11145046
12aab80
137c023
145c69a
15470d0
hex37410

226320 has 80 divisors (see below), whose sum is σ = 749952. Its totient is φ = 56320.

The previous prime is 226313. The next prime is 226337. The reversal of 226320 is 23622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 226320.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226320.

It is an unprimeable number.

226320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5500 + ... + 5540.

2226320 is an apocalyptic number.

226320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

226320 is an abundant number, since it is smaller than the sum of its proper divisors (523632).

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

226320 is a wasteful number, since it uses less digits than its factorization.

226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

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

The square root of 226320 is about 475.7310164368. The cubic root of 226320 is about 60.9407289545.

Adding to 226320 its reverse (23622), we get a palindrome (249942).

The spelling of 226320 in words is "two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 41 46 48 60 69 80 82 92 115 120 123 138 164 184 205 230 240 246 276 328 345 368 410 460 492 552 615 656 690 820 920 943 984 1104 1230 1380 1640 1840 1886 1968 2460 2760 2829 3280 3772 4715 4920 5520 5658 7544 9430 9840 11316 14145 15088 18860 22632 28290 37720 45264 56580 75440 113160 226320