Search a number
-
+
144829190 = 25112983547
BaseRepresentation
bin10001010000111…
…10101100000110
3101002112002022002
420220132230012
5244034013230
622212105302
73406012352
oct1050365406
9332462262
10144829190
1174830350
1240605232
132400b45c
1415340462
15caac545
hex8a1eb06

144829190 has 64 divisors (see below), whose sum is σ = 298287360. Its totient is φ = 50144640.

The previous prime is 144829187. The next prime is 144829283. The reversal of 144829190 is 91928441.

It is a super-2 number, since 2×1448291902 = 41950988552112200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264497 + ... + 265043.

It is an arithmetic number, because the mean of its divisors is an integer number (4660740).

Almost surely, 2144829190 is an apocalyptic number.

144829190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12034×12035.

144829190 is an abundant number, since it is smaller than the sum of its proper divisors (153458170).

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

144829190 is a wasteful number, since it uses less digits than its factorization.

144829190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 144829190 is about 12034.4999896132. The cubic root of 144829190 is about 525.1524153089.

The spelling of 144829190 in words is "one hundred forty-four million, eight hundred twenty-nine thousand, one hundred ninety".

Divisors: 1 2 5 10 11 22 29 55 58 83 110 145 166 290 319 415 547 638 830 913 1094 1595 1826 2407 2735 3190 4565 4814 5470 6017 9130 12034 12035 15863 24070 26477 30085 31726 45401 52954 60170 79315 90802 132385 158630 174493 227005 264770 348986 454010 499411 872465 998822 1316629 1744930 2497055 2633258 4994110 6583145 13166290 14482919 28965838 72414595 144829190