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397233970225 = 5223325412
BaseRepresentation
bin1011100011111001111…
…11010101110000110001
31101222022220210111110121
411301330333111300301
523002013344021400
6502253050330241
740461554015161
oct5617477256061
91358286714417
10397233970225
11143514247284
1264ba0a29981
132b5c7576231
1415324aa25a1
15a4edb6e21a
hex5c7cfd5c31

397233970225 has 27 divisors (see below), whose sum is σ = 495609326499. Its totient is φ = 315838396800.

The previous prime is 397233970223. The next prime is 397233970229. The reversal of 397233970225 is 522079332793.

The square root of 397233970225 is 630265.

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 377950759729 + 19283210496 = 614777^2 + 138864^2 .

It is not a de Polignac number, because 397233970225 - 21 = 397233970223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397233970223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 734258455 + ... + 734258995.

Almost surely, 2397233970225 is an apocalyptic number.

397233970225 is the 630265-th square number.

397233970225 is the 315133-rd centered octagonal number.

It is an amenable number.

397233970225 is a deficient number, since it is larger than the sum of its proper divisors (98375356274).

397233970225 is an frugal number, since it uses more digits than its factorization.

397233970225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 52.

The spelling of 397233970225 in words is "three hundred ninety-seven billion, two hundred thirty-three million, nine hundred seventy thousand, two hundred twenty-five".

Divisors: 1 5 25 233 541 1165 2705 5825 13525 54289 126053 271445 292681 630265 1357225 1463405 3151325 7317025 29370349 68194673 146851745 340973365 734258725 1704866825 15889358809 79446794045 397233970225