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80371225 = 521121632
BaseRepresentation
bin1001100101001…
…01111000011001
312121020021121001
410302211320121
5131033334400
611550345001
71664100304
oct462457031
9177207531
1080371225
1141405100
1222abb161
131386034c
14a961b3b
1570c8a6a
hex4ca5e19

80371225 has 27 divisors (see below), whose sum is σ = 110220159. Its totient is φ = 58093200.

The previous prime is 80371211. The next prime is 80371237. The reversal of 80371225 is 52217308.

The square root of 80371225 is 8965.

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

It can be written as a sum of positive squares in only one way, i.e., 28933641 + 51437584 = 5379^2 + 7172^2 .

It is not a de Polignac number, because 80371225 - 27 = 80371097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80371193 and 80371202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 492994 + ... + 493156.

Almost surely, 280371225 is an apocalyptic number.

80371225 is the 8965-th square number.

80371225 is the 4483-rd centered octagonal number.

It is an amenable number.

80371225 is a deficient number, since it is larger than the sum of its proper divisors (29848934).

80371225 is a wasteful number, since it uses less digits than its factorization.

80371225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The cubic root of 80371225 is about 431.5523931070.

The spelling of 80371225 in words is "eighty million, three hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 163 275 605 815 1793 3025 4075 8965 19723 26569 44825 98615 132845 292259 493075 664225 1461295 3214849 7306475 16074245 80371225