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225042741 = 327211232017
BaseRepresentation
bin11010110100111…
…10000100110101
3120200110100121100
431122132010311
5430102331431
634155240313
75401555200
oct1532360465
9520410540
10225042741
11106037a40
1263449099
1337814ab1
1421c60937
1514b544e6
hexd69e135

225042741 has 72 divisors (see below), whose sum is σ = 430657344. Its totient is φ = 111767040.

The previous prime is 225042739. The next prime is 225042751. The reversal of 225042741 is 147240522.

It is not a de Polignac number, because 225042741 - 21 = 225042739 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225042751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110565 + ... + 112581.

It is an arithmetic number, because the mean of its divisors is an integer number (5981352).

Almost surely, 2225042741 is an apocalyptic number.

225042741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225042741 is a deficient number, since it is larger than the sum of its proper divisors (205614603).

225042741 is a wasteful number, since it uses less digits than its factorization.

225042741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 225042741 is about 15001.4246323474. The cubic root of 225042741 is about 608.2587096220.

The spelling of 225042741 in words is "two hundred twenty-five million, forty-two thousand, seven hundred forty-one".

Divisors: 1 3 7 9 11 21 23 33 49 63 69 77 99 147 161 207 231 253 441 483 539 693 759 1127 1449 1617 1771 2017 2277 3381 4851 5313 6051 10143 12397 14119 15939 18153 22187 37191 42357 46391 66561 98833 111573 127071 139173 155309 199683 296499 324737 417519 465927 510301 889497 974211 1087163 1397781 1530903 2273159 2922633 3261489 3572107 4592709 6819477 9784467 10716321 20458431 25004749 32148963 75014247 225042741