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448230 = 23567223
BaseRepresentation
bin1101101011011100110
3211202212010
41231123212
5103320410
613335050
73544536
oct1553346
9752763
10448230
11286842
12197486
13129033
14b94c6
158cc20
hex6d6e6

448230 has 32 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 117216.

The previous prime is 448207. The next prime is 448241. The reversal of 448230 is 32844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 448197 and 448206.

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 448230.

It is an unprimeable number.

448230 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, 1899 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2448230 is an apocalyptic number.

It is a pronic number, being equal to 669×670.

It is a practical number, because each smaller number is the sum of distinct divisors of 448230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352).

448230 is an abundant number, since it is smaller than the sum of its proper divisors (648474).

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

448230 is a wasteful number, since it uses less digits than its factorization.

448230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 448230 is about 669.4998132935. The cubic root of 448230 is about 76.5303395401.

The spelling of 448230 in words is "four hundred forty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 223 335 402 446 669 670 1005 1115 1338 2010 2230 3345 6690 14941 29882 44823 74705 89646 149410 224115 448230