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1608468225 = 352713235673
BaseRepresentation
bin101111111011111…
…0100011100000001
311011002121122121020
41133313310130001
511243231440400
6423335020053
754600516510
oct13767643401
94132548536
101608468225
11755a35a91
1238a80a629
131c830c360
1411389a677
15963232a0
hex5fdf4701

1608468225 has 48 divisors (see below), whose sum is σ = 3273040512. Its totient is φ = 678735360.

The previous prime is 1608468193. The next prime is 1608468227. The reversal of 1608468225 is 5228648061.

It is not a de Polignac number, because 1608468225 - 25 = 1608468193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1608468227) 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, 111012 + ... + 124661.

It is an arithmetic number, because the mean of its divisors is an integer number (68188344).

Almost surely, 21608468225 is an apocalyptic number.

1608468225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1608468225 is an abundant number, since it is smaller than the sum of its proper divisors (1664572287).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1608468225 is a wasteful number, since it uses less digits than its factorization.

1608468225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235706 (or 235701 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 1608468225 is about 40105.7131216988. The cubic root of 1608468225 is about 1171.6669022844. Note that the first 3 decimals are identical.

It can be divided in two parts, 160846 and 8225, that added together give a triangular number (169071 = T581).

The spelling of 1608468225 in words is "one billion, six hundred eight million, four hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 6825 235673 707019 1178365 1649711 3063749 3535095 4949133 5891825 8248555 9191247 15318745 17675475 21446243 24745665 41242775 45956235 64338729 76593725 107231215 123728325 229781175 321693645 536156075 1608468225