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226304563340325 = 35229373278949263
BaseRepresentation
bin110011011101001010100011…
…000110111110010000100101
31002200021111122010021211222010
4303131022203012332100211
5214130233221203342300
62121150514200024433
765444652021462411
oct6335124306762045
91080244563254863
10226304563340325
1166120254292178
122146b410462119
139937575c84282
143dc52b0c89d41
151b26a7aebca50
hexcdd2a31be425

226304563340325 has 48 divisors (see below), whose sum is σ = 388096532017920. Its totient is φ = 116221420519680.

The previous prime is 226304563340243. The next prime is 226304563340341. The reversal of 226304563340325 is 523043365403622.

226304563340325 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226304563340325 - 211 = 226304563338277 is a prime.

It is a super-2 number, since 2×2263045633403252 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138663357 + ... + 140285906.

It is an arithmetic number, because the mean of its divisors is an integer number (8085344417040).

Almost surely, 2226304563340325 is an apocalyptic number.

226304563340325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226304563340325 is a deficient number, since it is larger than the sum of its proper divisors (161791968677595).

226304563340325 is a wasteful number, since it uses less digits than its factorization.

226304563340325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278949678 (or 278949673 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 48.

The spelling of 226304563340325 in words is "two hundred twenty-six trillion, three hundred four billion, five hundred sixty-three million, three hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 145 373 435 725 1119 1865 2175 5595 9325 10817 27975 32451 54085 162255 270425 811275 278949263 836847789 1394746315 4184238945 6973731575 8089528627 20921194725 24268585881 40447643135 104048075099 121342929405 202238215675 312144225297 520240375495 606714647025 1560721126485 2601201877475 3017394177871 7803605632425 9052182533613 15086970889355 45260912668065 75434854446775 226304563340325