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201448 = 23132149
BaseRepresentation
bin110001001011101000
3101020100001
4301023220
522421243
64152344
71466212
oct611350
9336301
10201448
11128395
12986b4
1370900
14535b2
153ea4d
hex312e8

201448 has 24 divisors (see below), whose sum is σ = 411750. Its totient is φ = 92352.

The previous prime is 201437. The next prime is 201449. The reversal of 201448 is 844102.

It can be written as a sum of positive squares in 3 ways, for example, as 58564 + 142884 = 242^2 + 378^2 .

It is not an unprimeable number, because it can be changed into a prime (201449) by changing a digit.

201448 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 5 ways as a sum of consecutive naturals, for example, 1278 + ... + 1426.

2201448 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 201448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205875).

201448 is an abundant number, since it is smaller than the sum of its proper divisors (210302).

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

201448 is a wasteful number, since it uses less digits than its factorization.

201448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 201448 is about 448.8295890424. The cubic root of 201448 is about 58.6211481172.

The spelling of 201448 in words is "two hundred one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 149 169 298 338 596 676 1192 1352 1937 3874 7748 15496 25181 50362 100724 201448