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9144225 = 3352192331
BaseRepresentation
bin100010111000…
…011110100001
3122012120112000
4202320132201
54320103400
6523554213
7140503356
oct42703641
918176460
109144225
115186212
12308b969
131b821ac
14130062d
15c09600
hex8b87a1

9144225 has 96 divisors (see below), whose sum is σ = 19046400. Its totient is φ = 4276800.

The previous prime is 9144221. The next prime is 9144229. The reversal of 9144225 is 5224419.

9144225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9144221) and next prime (9144229).

It is not a de Polignac number, because 9144225 - 22 = 9144221 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (9144221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294960 + ... + 294990.

It is an arithmetic number, because the mean of its divisors is an integer number (198400).

Almost surely, 29144225 is an apocalyptic number.

9144225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9144225 is an abundant number, since it is smaller than the sum of its proper divisors (9902175).

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

9144225 is a wasteful number, since it uses less digits than its factorization.

9144225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 9144225 is about 3023.9419637288. The cubic root of 9144225 is about 209.1136108421.

The spelling of 9144225 in words is "nine million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 23 25 27 31 45 57 69 75 93 95 115 135 155 171 207 225 279 285 345 437 465 475 513 575 589 621 675 713 775 837 855 1035 1311 1395 1425 1725 1767 2139 2185 2325 2565 2945 3105 3565 3933 4185 4275 5175 5301 6417 6555 6975 8835 10695 10925 11799 12825 13547 14725 15525 15903 17825 19251 19665 20925 26505 32085 32775 40641 44175 53475 58995 67735 79515 96255 98325 121923 132525 160425 203205 294975 338675 365769 397575 481275 609615 1016025 1828845 3048075 9144225