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195444 = 22326189
BaseRepresentation
bin101111101101110100
3100221002200
4233231310
522223234
64104500
71442544
oct575564
9327080
10195444
11123927
1295130
136ac62
1451324
153cd99
hex2fb74

195444 has 36 divisors (see below), whose sum is σ = 507780. Its totient is φ = 63360.

The previous prime is 195443. The next prime is 195457. The reversal of 195444 is 444591.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 176400 = 138^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (2880) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2195444 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 195444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

195444 is an abundant number, since it is smaller than the sum of its proper divisors (312336).

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

195444 is a wasteful number, since it uses less digits than its factorization.

195444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 195444 is about 442.0904884749. The cubic root of 195444 is about 58.0328787028.

The spelling of 195444 in words is "one hundred ninety-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 89 122 178 183 244 267 356 366 534 549 732 801 1068 1098 1602 2196 3204 5429 10858 16287 21716 32574 48861 65148 97722 195444