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144220200 = 233521571531
BaseRepresentation
bin10001001100010…
…10000000101000
3101001101010220220
420212022000220
5243410021300
622151050040
73400565025
oct1046120050
9331333826
10144220200
1174454853
1240370920
1323b571c7
141522254c
15c9dbda0
hex898a028

144220200 has 96 divisors (see below), whose sum is σ = 450224160. Its totient is φ = 38188800.

The previous prime is 144220199. The next prime is 144220201. The reversal of 144220200 is 2022441.

It is an interprime number because it is at equal distance from previous prime (144220199) and next prime (144220201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144220200.

It is not an unprimeable number, because it can be changed into a prime (144220201) 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, 93435 + ... + 94965.

It is an arithmetic number, because the mean of its divisors is an integer number (4689835).

Almost surely, 2144220200 is an apocalyptic number.

144220200 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 144220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225112080).

144220200 is an abundant number, since it is smaller than the sum of its proper divisors (306003960).

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

144220200 is a wasteful number, since it uses less digits than its factorization.

144220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144220200 is about 12009.1714951532. The cubic root of 144220200 is about 524.4153128003.

Adding to 144220200 its reverse (2022441), we get a palindrome (146242641).

The spelling of 144220200 in words is "one hundred forty-four million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 157 200 300 314 471 600 628 785 942 1256 1531 1570 1884 2355 3062 3140 3768 3925 4593 4710 6124 6280 7655 7850 9186 9420 11775 12248 15310 15700 18372 18840 22965 23550 30620 31400 36744 38275 45930 47100 61240 76550 91860 94200 114825 153100 183720 229650 240367 306200 459300 480734 721101 918600 961468 1201835 1442202 1922936 2403670 2884404 3605505 4807340 5768808 6009175 7211010 9614680 12018350 14422020 18027525 24036700 28844040 36055050 48073400 72110100 144220200