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144010224 = 2434111119
BaseRepresentation
bin10001001010101…
…10101111110000
3101000222110220000
420211112233300
5243331311344
622142350000
73366031611
oct1045265760
9330873800
10144010224
1174321016
124028b300
1323ab2767
14151a9c08
15c999a69
hex8956bf0

144010224 has 50 divisors (see below), whose sum is σ = 416811120. Its totient is φ = 48002976.

The previous prime is 144010211. The next prime is 144010261. The reversal of 144010224 is 422010441.

144010224 is a `hidden beast` number, since 1 + 440 + 1 + 0 + 224 = 666.

144010224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144010197 and 144010206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54264 + ... + 56855.

Almost surely, 2144010224 is an apocalyptic number.

It is an amenable number.

144010224 is an abundant number, since it is smaller than the sum of its proper divisors (272800896).

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

144010224 is a wasteful number, since it uses less digits than its factorization.

144010224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111139 (or 111124 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144010224 is about 12000.4259924388. The cubic root of 144010224 is about 524.1606833908.

Adding to 144010224 its reverse (422010441), we get a palindrome (566020665).

It can be divided in two parts, 1440 and 10224, that added together give a square (11664 = 1082).

The spelling of 144010224 in words is "one hundred forty-four million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 111119 222238 333357 444476 666714 888952 1000071 1333428 1777904 2000142 2666856 3000213 4000284 5333712 6000426 8000568 9000639 12000852 16001136 18001278 24001704 36002556 48003408 72005112 144010224