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144087225 = 35229312137
BaseRepresentation
bin10001001011010…
…01100010111001
3101001010101111220
420211221202321
5243341242400
622144142253
73366502242
oct1045514271
9331111456
10144087225
1174373957
1240307989
1323b0b819
14151c9cc9
15c9b27a0
hex89698b9

144087225 has 48 divisors (see below), whose sum is σ = 254507520. Its totient is φ = 71769600.

The previous prime is 144087197. The next prime is 144087259. The reversal of 144087225 is 522780441.

It is not a de Polignac number, because 144087225 - 25 = 144087193 is a prime.

It is a super-2 number, since 2×1440872252 = 41522256816401250, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66357 + ... + 68493.

It is an arithmetic number, because the mean of its divisors is an integer number (5302240).

Almost surely, 2144087225 is an apocalyptic number.

144087225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144087225 is a deficient number, since it is larger than the sum of its proper divisors (110420295).

144087225 is a wasteful number, since it uses less digits than its factorization.

144087225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 144087225 is about 12003.6338248049. The cubic root of 144087225 is about 524.2540881141.

The spelling of 144087225 in words is "one hundred forty-four million, eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 29 31 75 87 93 145 155 435 465 725 775 899 2137 2175 2325 2697 4495 6411 10685 13485 22475 32055 53425 61973 66247 67425 160275 185919 198741 309865 331235 929595 993705 1549325 1656175 1921163 4647975 4968525 5763489 9605815 28817445 48029075 144087225