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1384956225 = 34528272
BaseRepresentation
bin101001010001100…
…1100000101000001
310120112001001210000
41102203030011001
510314022044400
6345232230213
746214635152
oct12243140501
93515031700
101384956225
11650854124
1232799b369
13190c12233
14d1d17929
15818c2600
hex528cc141

1384956225 has 45 divisors (see below), whose sum is σ = 2568523507. Its totient is φ = 737750160.

The previous prime is 1384956211. The next prime is 1384956229. The reversal of 1384956225 is 5226594831.

The square root of 1384956225 is 37215.

It is a perfect power (a square), and thus also a powerful number.

1384956225 is a `hidden beast` number, since 1 + 3 + 84 + 9 + 562 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 498584241 + 886371984 = 22329^2 + 29772^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1384956225 - 25 = 1384956193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1384956229) 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 44 ways as a sum of consecutive naturals, for example, 1674262 + ... + 1675088.

Almost surely, 21384956225 is an apocalyptic number.

1384956225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1384956225 is the 37215-th square number.

1384956225 is the 18608-th centered octagonal number.

It is an amenable number.

1384956225 is a deficient number, since it is larger than the sum of its proper divisors (1183567282).

1384956225 is an frugal number, since it uses more digits than its factorization.

1384956225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 835 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 1384956225 is about 1114.6675260670.

Multiplying 1384956225 by its product of digits (518400), we get a square (717961307040000 = 267948002).

The spelling of 1384956225 in words is "one billion, three hundred eighty-four million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 827 2025 2481 4135 7443 12405 20675 22329 37215 62025 66987 111645 186075 334935 558225 683929 1674675 2051787 3419645 6155361 10258935 17098225 18466083 30776805 51294675 55398249 92330415 153884025 276991245 461652075 1384956225