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144227200 = 2752133467
BaseRepresentation
bin10001001100010…
…11101110000000
3101001101111112011
420212023232000
5243410232300
622151142304
73400624315
oct1046135600
9331344464
10144227200
117445a037
1240374994
1323b5a450
1415224d0c
15c9ddeba
hex898bb80

144227200 has 96 divisors (see below), whose sum is σ = 383803560. Its totient is φ = 53237760.

The previous prime is 144227189. The next prime is 144227207. The reversal of 144227200 is 2722441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144227207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39867 + ... + 43333.

Almost surely, 2144227200 is an apocalyptic number.

144227200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144227200 is the 6934-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191901780).

144227200 is an abundant number, since it is smaller than the sum of its proper divisors (239576360).

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

144227200 is a wasteful number, since it uses less digits than its factorization.

144227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 144227200 is about 12009.4629355355. The cubic root of 144227200 is about 524.4237971592.

Adding to 144227200 its reverse (2722441), we get a palindrome (146949641).

The spelling of 144227200 in words is "one hundred forty-four million, two hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 3467 4160 5200 6934 8320 10400 13868 17335 20800 27736 34670 41600 45071 55472 69340 86675 90142 110944 138680 173350 180284 221888 225355 277360 346700 360568 443776 450710 554720 693400 721136 901420 1109440 1126775 1386800 1442272 1802840 2218880 2253550 2773600 2884544 3605680 4507100 5547200 5769088 7211360 9014200 11094400 14422720 18028400 28845440 36056800 72113600 144227200