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1205106225 = 352107150169
BaseRepresentation
bin100011111010100…
…0111011000110001
310002222121201221220
41013311013120301
54432001344400
6315325335253
741602143141
oct10765073061
93088551856
101205106225
11569284164
12297707529
1316289170b
14b609c921
1570be87a0
hex47d47631

1205106225 has 24 divisors (see below), whose sum is σ = 2011076640. Its totient is φ = 636712320.

The previous prime is 1205106197. The next prime is 1205106247. The reversal of 1205106225 is 5226015021.

It is a happy number.

It is not a de Polignac number, because 1205106225 - 25 = 1205106193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1205106195 and 1205106204.

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, 67060 + ... + 83109.

It is an arithmetic number, because the mean of its divisors is an integer number (83794860).

Almost surely, 21205106225 is an apocalyptic number.

1205106225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1205106225 is a deficient number, since it is larger than the sum of its proper divisors (805970415).

1205106225 is a wasteful number, since it uses less digits than its factorization.

1205106225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150289 (or 150284 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1205106225 is about 34714.6399232370. The cubic root of 1205106225 is about 1064.1637068029.

The spelling of 1205106225 in words is "one billion, two hundred five million, one hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 107 321 535 1605 2675 8025 150169 450507 750845 2252535 3754225 11262675 16068083 48204249 80340415 241021245 401702075 1205106225