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247205425 = 5229349977
BaseRepresentation
bin11101011110000…
…00111000110001
3122020011100002111
432233000320301
51001241033200
640310245321
76061132345
oct1657007061
9566140074
10247205425
111175a5105
126a956841
133c2a46cc
1424b8d625
1516a810ba
hexebc0e31

247205425 has 24 divisors (see below), whose sum is σ = 318339000. Its totient is φ = 190202880.

The previous prime is 247205363. The next prime is 247205461. The reversal of 247205425 is 524502742.

247205425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4562496 + 242642929 = 2136^2 + 15577^2 .

It is not a de Polignac number, because 247205425 - 27 = 247205297 is a prime.

It is a super-2 number, since 2×2472054252 = 122221044298861250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252537 + ... + 253513.

It is an arithmetic number, because the mean of its divisors is an integer number (13264125).

Almost surely, 2247205425 is an apocalyptic number.

247205425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

247205425 is a deficient number, since it is larger than the sum of its proper divisors (71133575).

247205425 is a wasteful number, since it uses less digits than its factorization.

247205425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 247205425 is about 15722.7677270893. The cubic root of 247205425 is about 627.6044280523.

The spelling of 247205425 in words is "two hundred forty-seven million, two hundred five thousand, four hundred twenty-five".

Divisors: 1 5 25 29 145 349 725 977 1745 4885 8725 10121 24425 28333 50605 141665 253025 340973 708325 1704865 8524325 9888217 49441085 247205425