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1205326225 = 52389123941
BaseRepresentation
bin100011111010111…
…1101000110010001
310010000000220202001
41013311331012101
54432030414400
6315334154001
741604050425
oct10765750621
93100026661
101205326225
11569414484
122977b2901
1316293a8ac
14b6118b85
1570c3da6a
hex47d7d191

1205326225 has 12 divisors (see below), whose sum is σ = 1498458780. Its totient is φ = 961774400.

The previous prime is 1205326219. The next prime is 1205326261. The reversal of 1205326225 is 5226235021.

It can be written as a sum of positive squares in 6 ways, for example, as 6574096 + 1198752129 = 2564^2 + 34623^2 .

It is not a de Polignac number, because 1205326225 - 25 = 1205326193 is a prime.

It is a super-3 number, since 3×12053262253 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1205326193 and 1205326202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52246 + ... + 71695.

It is an arithmetic number, because the mean of its divisors is an integer number (124871565).

Almost surely, 21205326225 is an apocalyptic number.

It is an amenable number.

1205326225 is a deficient number, since it is larger than the sum of its proper divisors (293132555).

1205326225 is a wasteful number, since it uses less digits than its factorization.

1205326225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124340 (or 124335 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1205326225 is about 34717.8084705818. The cubic root of 1205326225 is about 1064.2284595375.

The spelling of 1205326225 in words is "one billion, two hundred five million, three hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 389 1945 9725 123941 619705 3098525 48213049 241065245 1205326225