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216040625 = 55257269
BaseRepresentation
bin11001110000010…
…00010010110001
3120001112000000122
430320020102301
5420301300000
633234300025
75232213023
oct1470102261
9501460018
10216040625
11100a49579
1260427615
13359b24b8
142099a013
1513e77085
hexce084b1

216040625 has 24 divisors (see below), whose sum is σ = 272091960. Its totient is φ = 171520000.

The previous prime is 216040619. The next prime is 216040639. The reversal of 216040625 is 526040612.

It can be written as a sum of positive squares in 12 ways, for example, as 213656689 + 2383936 = 14617^2 + 1544^2 .

It is not a de Polignac number, because 216040625 - 24 = 216040609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216040594 and 216040603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802991 + ... + 803259.

It is an arithmetic number, because the mean of its divisors is an integer number (11337165).

Almost surely, 2216040625 is an apocalyptic number.

216040625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216040625 is a deficient number, since it is larger than the sum of its proper divisors (56051335).

216040625 is an frugal number, since it uses more digits than its factorization.

216040625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 216040625 is about 14698.3204822864. The cubic root of 216040625 is about 600.0376133827.

The spelling of 216040625 in words is "two hundred sixteen million, forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 257 269 625 1285 1345 3125 6425 6725 32125 33625 69133 160625 168125 345665 803125 840625 1728325 8641625 43208125 216040625