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953230032225 = 3252650892
BaseRepresentation
bin11011101111100001110…
…11111111110101100001
310101010110020110220002100
431313300323333311201
5111104203342012400
62005524031441013
7125603633404602
oct15676073776541
93333406426070
10953230032225
11338298558969
121348aa986169
136bb737811b3
14341caabbda9
1519be0753100
hexddf0effd61

953230032225 has 27 divisors (see below), whose sum is σ = 1707367133433. Its totient is φ = 508381539840.

The previous prime is 953230032143. The next prime is 953230032233. The reversal of 953230032225 is 522230032359.

The square root of 953230032225 is 976335.

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

953230032225 is a `hidden beast` number, since 9 + 5 + 3 + 2 + 300 + 322 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 286962704721 + 666267327504 = 535689^2 + 816252^2 .

It is not a de Polignac number, because 953230032225 - 211 = 953230030177 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 953230032225.

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, 14612481 + ... + 14677569.

Almost surely, 2953230032225 is an apocalyptic number.

953230032225 is the 976335-th square number.

953230032225 is the 488168-th centered octagonal number.

It is an amenable number.

953230032225 is a deficient number, since it is larger than the sum of its proper divisors (754137101208).

953230032225 is an frugal number, since it uses more digits than its factorization.

953230032225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130194 (or 65097 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Multiplying 953230032225 by its sum of digits (36), we get a square (34316281160100 = 58580102).

The spelling of 953230032225 in words is "nine hundred fifty-three billion, two hundred thirty million, thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 65089 195267 325445 585801 976335 1627225 2929005 4881675 14645025 4236577921 12709733763 21182889605 38129201289 63548668815 105914448025 190646006445 317743344075 953230032225