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225253266300 = 223252448355829
BaseRepresentation
bin1101000111001000100…
…1000001001101111100
3210112102021202112100200
43101302021001031330
512142304314010200
6251251355123500
722162662113046
oct3216211011574
9715367675320
10225253266300
1187590661a17
12377a4a43590
131831a16c9ba
14ac8bd54a96
155cd54c3800
hex347224137c

225253266300 has 108 divisors (see below), whose sum is σ = 706213992120. Its totient is φ = 60053063040.

The previous prime is 225253266269. The next prime is 225253266341. The reversal of 225253266300 is 3662352522.

225253266300 is a `hidden beast` number, since 2 + 2 + 5 + 25 + 326 + 6 + 300 = 666.

225253266300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4006786 + ... + 4062614.

Almost surely, 2225253266300 is an apocalyptic number.

225253266300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225253266300 is an abundant number, since it is smaller than the sum of its proper divisors (480960725820).

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

225253266300 is a wasteful number, since it uses less digits than its factorization.

225253266300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60332 (or 60322 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 225253266300 in words is "two hundred twenty-five billion, two hundred fifty-three million, two hundred sixty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4483 8966 13449 17932 22415 26898 40347 44830 53796 55829 67245 80694 89660 111658 112075 134490 161388 167487 201735 223316 224150 268980 279145 334974 336225 403470 448300 502461 558290 669948 672450 806940 837435 1004922 1008675 1116580 1344900 1395725 1674870 2009844 2017350 2512305 2791450 3349740 4034700 4187175 5024610 5582900 8374350 10049220 12561525 16748700 25123050 50246100 250281407 500562814 750844221 1001125628 1251407035 1501688442 2252532663 2502814070 3003376884 3754221105 4505065326 5005628140 6257035175 7508442210 9010130652 11262663315 12514070350 15016884420 18771105525 22525326630 25028140700 37542211050 45050653260 56313316575 75084422100 112626633150 225253266300