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2706208225 = 527294312401
BaseRepresentation
bin1010000101001101…
…0111010111100001
320222121012121210021
42201103113113201
521020242130400
61124311233441
7124030250620
oct24123272741
96877177707
102706208225
111169647326
12636378881
1334187b456
141b95ab6b7
1510c8ae71a
hexa14d75e1

2706208225 has 48 divisors (see below), whose sum is σ = 4059918720. Its totient is φ = 1749888000.

The previous prime is 2706208199. The next prime is 2706208229. The reversal of 2706208225 is 5228026072.

It is a happy number.

2706208225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2706208225 - 211 = 2706206177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2706208229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212025 + ... + 224425.

It is an arithmetic number, because the mean of its divisors is an integer number (84581640).

Almost surely, 22706208225 is an apocalyptic number.

2706208225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2706208225 is a deficient number, since it is larger than the sum of its proper divisors (1353710495).

2706208225 is a wasteful number, since it uses less digits than its factorization.

2706208225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12490 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2706208225 is about 52021.2285994862. The cubic root of 2706208225 is about 1393.5430934184.

The spelling of 2706208225 in words is "two billion, seven hundred six million, two hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 43 145 175 203 215 301 725 1015 1075 1247 1505 5075 6235 7525 8729 12401 31175 43645 62005 86807 218225 310025 359629 434035 533243 1798145 2170175 2517403 2666215 3732701 8990725 12587015 13331075 15464047 18663505 62935075 77320235 93317525 108248329 386601175 541241645 2706208225