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195030144 = 2732792143
BaseRepresentation
bin10111001111111…
…10110010000000
3111120222120001200
423213332302000
5344411431034
631204101200
74555505001
oct1347766200
9446876050
10195030144
11a00a9041
1255394800
133153716a
141bc8b1a8
15121c6a99
hexb9fec80

195030144 has 96 divisors (see below), whose sum is σ = 568588800. Its totient is φ = 64157184.

The previous prime is 195030139. The next prime is 195030151. The reversal of 195030144 is 441030591.

195030144 is a `hidden beast` number, since 19 + 503 + 0 + 144 = 666.

195030144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89937 + ... + 92079.

It is an arithmetic number, because the mean of its divisors is an integer number (5922800).

Almost surely, 2195030144 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 195030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284294400).

195030144 is an abundant number, since it is smaller than the sum of its proper divisors (373558656).

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

195030144 is a wasteful number, since it uses less digits than its factorization.

195030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 195030144 is about 13965.3193303984. The cubic root of 195030144 is about 579.9188788647.

The spelling of 195030144 in words is "one hundred ninety-five million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2143 2528 2844 3792 4286 5056 5688 6429 7584 8572 10112 11376 12858 15168 17144 19287 22752 25716 30336 34288 38574 45504 51432 68576 77148 91008 102864 137152 154296 169297 205728 274304 308592 338594 411456 507891 617184 677188 822912 1015782 1234368 1354376 1523673 2031564 2468736 2708752 3047346 4063128 5417504 6094692 8126256 10835008 12189384 16252512 21670016 24378768 32505024 48757536 65010048 97515072 195030144