Search a number
-
+
144230600 = 23523143541
BaseRepresentation
bin10001001100011…
…00100011001000
3101001101200012002
420212030203020
5243410334400
622151210132
73400640243
oct1046144310
9331350162
10144230600
1174461648
1240376948
1323b5bb67
141522625a
15c9deed5
hex898c8c8

144230600 has 96 divisors (see below), whose sum is σ = 354858240. Its totient is φ = 54432000.

The previous prime is 144230599. The next prime is 144230609. The reversal of 144230600 is 6032441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144230609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266330 + ... + 266870.

It is an arithmetic number, because the mean of its divisors is an integer number (3696440).

Almost surely, 2144230600 is an apocalyptic number.

144230600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144230600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177429120).

144230600 is an abundant number, since it is smaller than the sum of its proper divisors (210627640).

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

144230600 is a wasteful number, since it uses less digits than its factorization.

144230600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144230600 is about 12009.6044897407. The cubic root of 144230600 is about 524.4279180344.

The spelling of 144230600 in words is "one hundred forty-four million, two hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 43 50 62 86 100 124 155 172 200 215 248 310 344 430 541 620 775 860 1075 1082 1240 1333 1550 1720 2150 2164 2666 2705 3100 4300 4328 5332 5410 6200 6665 8600 10664 10820 13330 13525 16771 21640 23263 26660 27050 33325 33542 46526 53320 54100 66650 67084 83855 93052 108200 116315 133300 134168 167710 186104 232630 266600 335420 419275 465260 581575 670840 721153 838550 930520 1163150 1442306 1677100 2326300 2884612 3354200 3605765 4652600 5769224 7211530 14423060 18028825 28846120 36057650 72115300 144230600