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225041607 = 32711093221
BaseRepresentation
bin11010110100111…
…01110011000111
3120200110022001100
431122131303013
5430102312412
634155231143
75401551660
oct1532356307
9520408040
10225041607
111060370aa
12634484b3
133781441b
1421c60367
1514b53edc
hexd69dcc7

225041607 has 24 divisors (see below), whose sum is σ = 371947680. Its totient is φ = 128439360.

The previous prime is 225041603. The next prime is 225041611. The reversal of 225041607 is 706140522.

225041607 is a `hidden beast` number, since 2 + 2 + 50 + 4 + 1 + 607 = 666.

It is an interprime number because it is at equal distance from previous prime (225041603) and next prime (225041611).

It is not a de Polignac number, because 225041607 - 22 = 225041603 is a prime.

It is a super-2 number, since 2×2250416072 = 101287449762284898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225041603) 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 23 ways as a sum of consecutive naturals, for example, 68257 + ... + 71477.

It is an arithmetic number, because the mean of its divisors is an integer number (15497820).

Almost surely, 2225041607 is an apocalyptic number.

225041607 is a deficient number, since it is larger than the sum of its proper divisors (146906073).

225041607 is a wasteful number, since it uses less digits than its factorization.

225041607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225041607 is about 15001.3868358895. The cubic root of 225041607 is about 608.2576879398.

The spelling of 225041607 in words is "two hundred twenty-five million, forty-one thousand, six hundred seven".

Divisors: 1 3 7 9 21 63 1109 3221 3327 7763 9663 9981 22547 23289 28989 67641 69867 202923 3572089 10716267 25004623 32148801 75013869 225041607