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144904221 = 3472113319
BaseRepresentation
bin10001010001100…
…01000000011101
3101002122220020000
420220301000131
5244043413341
622213444513
73406444200
oct1050610035
9332586200
10144904221
1174881760
1240640739
1324036657
141535d937
15cac48b6
hex8a3101d

144904221 has 60 divisors (see below), whose sum is σ = 274776480. Its totient is φ = 75252240.

The previous prime is 144904181. The next prime is 144904231. The reversal of 144904221 is 122409441.

It is a happy number.

It is not a de Polignac number, because 144904221 - 214 = 144887837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144904231) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42000 + ... + 45318.

It is an arithmetic number, because the mean of its divisors is an integer number (4579608).

Almost surely, 2144904221 is an apocalyptic number.

144904221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144904221 is a deficient number, since it is larger than the sum of its proper divisors (129872259).

144904221 is a wasteful number, since it uses less digits than its factorization.

144904221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144904221 is about 12037.6169153201. The cubic root of 144904221 is about 525.2430874274.

The spelling of 144904221 in words is "one hundred forty-four million, nine hundred four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 441 539 567 693 891 1323 1617 2079 3319 3969 4851 6237 9957 14553 23233 29871 36509 43659 69699 89613 109527 162631 209097 255563 268839 328581 487893 627291 766689 985743 1463679 1788941 1881873 2300067 2957229 4391037 5366823 6900201 13173111 16100469 20700603 48301407 144904221