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1322413225 = 527210392
BaseRepresentation
bin100111011010010…
…0110110010101001
310102011100112220121
41032310212302221
510202014210400
6335115523241
744525220100
oct11664466251
93364315817
101322413225
116195166a1
1230aa59521
13180c84943
14c78b7037
157b16b21a
hex4ed26ca9

1322413225 has 27 divisors (see below), whose sum is σ = 1909351287. Its totient is φ = 905924880.

The previous prime is 1322413219. The next prime is 1322413231. The reversal of 1322413225 is 5223142231.

The square root of 1322413225 is 36365.

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

It is an interprime number because it is at equal distance from previous prime (1322413219) and next prime (1322413231).

It can be written as a sum of positive squares in only one way, i.e., 476068761 + 846344464 = 21819^2 + 29092^2 .

It is not a de Polignac number, because 1322413225 - 23 = 1322413217 is a prime.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1322413225.

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, 1272256 + ... + 1273294.

Almost surely, 21322413225 is an apocalyptic number.

1322413225 is the 36365-th square number.

1322413225 is the 18183-rd centered octagonal number.

It is an amenable number.

1322413225 is a deficient number, since it is larger than the sum of its proper divisors (586938062).

1322413225 is an frugal number, since it uses more digits than its factorization.

1322413225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1051 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The cubic root of 1322413225 is about 1097.6293920223.

Multiplying 1322413225 by its sum of digits (25), we get a square (33060330625 = 1818252).

1322413225 divided by its sum of digits (25) gives a square (52896529 = 72732).

Adding to 1322413225 its reverse (5223142231), we get a palindrome (6545555456).

The spelling of 1322413225 in words is "one billion, three hundred twenty-two million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1039 1225 5195 7273 25975 36365 50911 181825 254555 1079521 1272775 5397605 7556647 26988025 37783235 52896529 188916175 264482645 1322413225