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5193364225 = 5272292712
BaseRepresentation
bin1001101011000110…
…00111001100000001
3111101221020020102011
410311203013030001
541114000123400
62215155452521
7242460603400
oct46543071401
914357206364
105193364225
112225578455
12100b2b7141
13649c316aa
14373a37637
15205dee8ba
hex1358c7301

5193364225 has 81 divisors (see below), whose sum is σ = 7869198441. Its totient is φ = 3389937600.

The previous prime is 5193364207. The next prime is 5193364247. The reversal of 5193364225 is 5224633915.

The square root of 5193364225 is 72065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 71385601 + 5121978624 = 8449^2 + 71568^2 .

It is not a de Polignac number, because 5193364225 - 213 = 5193356033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73145940 + ... + 73146010.

Almost surely, 25193364225 is an apocalyptic number.

5193364225 is the 72065-th square number.

5193364225 is the 36033-rd centered octagonal number.

It is an amenable number.

5193364225 is a deficient number, since it is larger than the sum of its proper divisors (2675834216).

5193364225 is an equidigital number, since it uses as much as digits as its factorization.

5193364225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The cubic root of 5193364225 is about 1731.7409523955.

The spelling of 5193364225 in words is "five billion, one hundred ninety-three million, three hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 71 145 175 203 245 355 497 725 841 1015 1225 1421 1775 2059 2485 3479 4205 5041 5075 5887 7105 10295 12425 14413 17395 21025 25205 29435 35287 35525 41209 51475 59711 72065 86975 100891 126025 146189 147175 176435 206045 247009 298555 360325 417977 504455 730945 882175 1023323 1030225 1235045 1492775 2089885 2522275 2925839 3654725 4239481 5116615 6175225 7163261 10449425 14629195 21197405 25583075 29676367 35816305 73145975 105987025 148381835 179081525 207734569 741909175 1038672845 5193364225