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144145224 = 23331394801
BaseRepresentation
bin10001001011101…
…11101101001000
3101001020100002000
420211313231020
5243400121344
622145311000
73400133316
oct1045675510
9331210060
10144145224
1174403493
1240335460
1323b2c042
14152030b6
15c9c4a69
hex8977b48

144145224 has 64 divisors (see below), whose sum is σ = 403368000. Its totient is φ = 47692800.

The previous prime is 144145223. The next prime is 144145241. The reversal of 144145224 is 422541441.

144145224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144145223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27624 + ... + 32424.

It is an arithmetic number, because the mean of its divisors is an integer number (6302625).

Almost surely, 2144145224 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 144145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201684000).

144145224 is an abundant number, since it is smaller than the sum of its proper divisors (259222776).

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

144145224 is a wasteful number, since it uses less digits than its factorization.

144145224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4945 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 144145224 is about 12006.0494751604. The cubic root of 144145224 is about 524.3244208217.

Adding to 144145224 its reverse (422541441), we get a palindrome (566686665).

It can be divided in two parts, 1441 and 45224, that added together give a triangular number (46665 = T305).

The spelling of 144145224 in words is "one hundred forty-four million, one hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2502 3336 3753 4801 5004 7506 9602 10008 14403 15012 19204 28806 30024 38408 43209 57612 86418 115224 129627 172836 259254 345672 518508 667339 1037016 1334678 2002017 2669356 4004034 5338712 6006051 8008068 12012102 16016136 18018153 24024204 36036306 48048408 72072612 144145224