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144410200 = 235211411601
BaseRepresentation
bin10001001101110…
…00011001011000
3101001201210112221
420212320121120
5243432111300
622155113424
73402315664
oct1046703130
9331653487
10144410200
1174574580
1240442874
1323bc282c
14152718a4
15ca2831a
hex89b8658

144410200 has 96 divisors (see below), whose sum is σ = 375444720. Its totient is φ = 51200000.

The previous prime is 144410197. The next prime is 144410239. The reversal of 144410200 is 2014441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89400 + ... + 91000.

Almost surely, 2144410200 is an apocalyptic number.

144410200 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 144410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187722360).

144410200 is an abundant number, since it is smaller than the sum of its proper divisors (231034520).

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

144410200 is a wasteful number, since it uses less digits than its factorization.

144410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 144410200 is about 12017.0795120944. The cubic root of 144410200 is about 524.6455052090.

Adding to 144410200 its reverse (2014441), we get a palindrome (146424641).

The spelling of 144410200 in words is "one hundred forty-four million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1601 1640 1804 2050 2200 2255 3202 3608 4100 4510 6404 8005 8200 9020 11275 12808 16010 17611 18040 22550 32020 35222 40025 45100 64040 65641 70444 80050 88055 90200 131282 140888 160100 176110 262564 320200 328205 352220 440275 525128 656410 704440 722051 880550 1312820 1444102 1641025 1761100 2625640 2888204 3282050 3522200 3610255 5776408 6564100 7220510 13128200 14441020 18051275 28882040 36102550 72205100 144410200