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144222240 = 2535300463
BaseRepresentation
bin10001001100010…
…10100000100000
3101001101020201110
420212022200200
5243410102430
622151103320
73400604001
oct1046124040
9331336643
10144222240
1174456338
1240371b40
1323b58106
14152231a8
15c9dc7b0
hex898a820

144222240 has 48 divisors (see below), whose sum is σ = 454301568. Its totient is φ = 38459136.

The previous prime is 144222193. The next prime is 144222251. The reversal of 144222240 is 42222441.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149752 + ... + 150711.

It is an arithmetic number, because the mean of its divisors is an integer number (9464616).

Almost surely, 2144222240 is an apocalyptic number.

144222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144222240 is an abundant number, since it is smaller than the sum of its proper divisors (310079328).

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

144222240 is a wasteful number, since it uses less digits than its factorization.

144222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300481 (or 300473 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 144222240 is about 12009.2564299377. The cubic root of 144222240 is about 524.4177854132.

Adding to 144222240 its reverse (42222441), we get a palindrome (186444681).

The spelling of 144222240 in words is "one hundred forty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 300463 600926 901389 1201852 1502315 1802778 2403704 3004630 3605556 4506945 4807408 6009260 7211112 9013890 9614816 12018520 14422224 18027780 24037040 28844448 36055560 48074080 72111120 144222240