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144220300 = 225271791151
BaseRepresentation
bin10001001100010…
…10000010001100
3101001101011001121
420212022002030
5243410022200
622151050324
73400565230
oct1046120214
9331334047
10144220300
1174454934
12403709a4
1323b57273
14152225c0
15c9dbe1a
hex898a08c

144220300 has 72 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 49128000.

The previous prime is 144220273. The next prime is 144220303. The reversal of 144220300 is 3022441.

It is not an unprimeable number, because it can be changed into a prime (144220303) 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, 124725 + ... + 125875.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2144220300 is an apocalyptic number.

144220300 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 144220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

144220300 is an abundant number, since it is smaller than the sum of its proper divisors (215756660).

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

144220300 is a wasteful number, since it uses less digits than its factorization.

144220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144220300 is about 12009.1756586370. The cubic root of 144220300 is about 524.4154340074.

Adding to 144220300 its reverse (3022441), we get a palindrome (147242741).

The spelling of 144220300 in words is "one hundred forty-four million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1151 1253 1790 2302 2506 3580 4475 4604 5012 5755 6265 8057 8950 11510 12530 16114 17900 23020 25060 28775 31325 32228 40285 57550 62650 80570 115100 125300 161140 201425 206029 402850 412058 805700 824116 1030145 1442203 2060290 2884406 4120580 5150725 5768812 7211015 10301450 14422030 20602900 28844060 36055075 72110150 144220300