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221607425 = 52131933533
BaseRepresentation
bin11010011010101…
…11011000000001
3120102222211020102
431031113120001
5423212414200
633553452145
75330426534
oct1515273001
9512884212
10221607425
11104100a36
1262271055
1336bb1270
1421608a1b
15146c66d5
hexd357601

221607425 has 24 divisors (see below), whose sum is σ = 297548664. Its totient is φ = 162754560.

The previous prime is 221607413. The next prime is 221607457. The reversal of 221607425 is 524706122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 90459121 + 131148304 = 9511^2 + 11452^2 .

It is not a de Polignac number, because 221607425 - 26 = 221607361 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60959 + ... + 64491.

It is an arithmetic number, because the mean of its divisors is an integer number (12397861).

Almost surely, 2221607425 is an apocalyptic number.

221607425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221607425 is a deficient number, since it is larger than the sum of its proper divisors (75941239).

221607425 is a wasteful number, since it uses less digits than its factorization.

221607425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 221607425 is about 14886.4846421175. The cubic root of 221607425 is about 605.1477680173.

The spelling of 221607425 in words is "two hundred twenty-one million, six hundred seven thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 193 325 965 2509 3533 4825 12545 17665 45929 62725 88325 229645 681869 1148225 3409345 8864297 17046725 44321485 221607425