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225613345041 = 3273581164207
BaseRepresentation
bin1101001000011110011…
…0100111000100010001
3210120100101022102112100
43102013212213010101
512144024004020131
6251351220551013
722204623535230
oct3220746470421
9716311272470
10225613345041
1187755940457
1237885552469
1318376944546
14acc3ac6b17
155d06ded7e6
hex34879a7111

225613345041 has 12 divisors (see below), whose sum is σ = 372441077632. Its totient is φ = 128921911416.

The previous prime is 225613345019. The next prime is 225613345049. The reversal of 225613345041 is 140543316522.

225613345041 is a `hidden beast` number, since 2 + 2 + 5 + 613 + 34 + 5 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 225613345041 - 231 = 223465861393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225613344987 and 225613345005.

It is not an unprimeable number, because it can be changed into a prime (225613345049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1790582041 + ... + 1790582166.

Almost surely, 2225613345041 is an apocalyptic number.

225613345041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225613345041 is a deficient number, since it is larger than the sum of its proper divisors (146827732591).

225613345041 is a wasteful number, since it uses less digits than its factorization.

225613345041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581164220 (or 3581164217 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 225613345041 in words is "two hundred twenty-five billion, six hundred thirteen million, three hundred forty-five thousand, forty-one".

Divisors: 1 3 7 9 21 63 3581164207 10743492621 25068149449 32230477863 75204448347 225613345041