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1388680225 = 522922572
BaseRepresentation
bin101001011000101…
…1001010000100001
310120210001021010221
41102301121100201
510321000231400
6345444123041
746261405252
oct12261312041
93523037127
101388680225
11652968009
12329096481
1319191729a
14d2606b29
1581daac1a
hex52c59421

1388680225 has 27 divisors (see below), whose sum is σ = 1790355307. Its totient is φ = 1068462080.

The previous prime is 1388680219. The next prime is 1388680273. The reversal of 1388680225 is 5220868831.

The square root of 1388680225 is 37265.

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

It can be written as a sum of positive squares in 13 ways, for example, as 79977249 + 1308702976 = 8943^2 + 36176^2 .

It is not a de Polignac number, because 1388680225 - 25 = 1388680193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5403297 + ... + 5403553.

Almost surely, 21388680225 is an apocalyptic number.

1388680225 is the 37265-th square number.

1388680225 is the 18633-rd centered octagonal number.

It is an amenable number.

1388680225 is a deficient number, since it is larger than the sum of its proper divisors (401675082).

1388680225 is an frugal number, since it uses more digits than its factorization.

1388680225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The cubic root of 1388680225 is about 1115.6657060788.

The spelling of 1388680225 in words is "one billion, three hundred eighty-eight million, six hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 257 725 841 1285 4205 6425 7453 21025 37265 66049 186325 216137 330245 1080685 1651225 1915421 5403425 9577105 47885525 55547209 277736045 1388680225