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226101340137225 = 352738789167741
BaseRepresentation
bin110011011010001101010010…
…000011111110011100001001
31002122120002002010222111001010
4303122031102003332130021
5214113421021033342400
62120513304405314133
765424165661656000
oct6332152203763411
91078502063874033
10226101340137225
116605204906a863
1221437b55405949
139921359c61237
143db9512a9dc37
151b21634ab5450
hexcda3520fe709

226101340137225 has 48 divisors (see below), whose sum is σ = 435942720003200. Its totient is φ = 103360612622400.

The previous prime is 226101340137223. The next prime is 226101340137259. The reversal of 226101340137225 is 522731043101622.

226101340137225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226101340137225 - 21 = 226101340137223 is a prime.

It is a super-3 number, since 3×2261013401372253 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (226101340137223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4394558146 + ... + 4394609595.

Almost surely, 2226101340137225 is an apocalyptic number.

226101340137225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226101340137225 is a deficient number, since it is larger than the sum of its proper divisors (209841379865975).

226101340137225 is an equidigital number, since it uses as much as digits as its factorization.

226101340137225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789167775 (or 8789167756 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 226101340137225 its reverse (522731043101622), we get a palindrome (748832383238847).

The spelling of 226101340137225 in words is "two hundred twenty-six trillion, one hundred one billion, three hundred forty million, one hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 343 525 735 1029 1225 1715 3675 5145 8575 25725 8789167741 26367503223 43945838705 61524174187 131837516115 184572522561 219729193525 307620870935 430669219309 659187580575 922862612805 1292007657927 1538104354675 2153346096545 3014684535163 4614313064025 6460038289635 9044053605489 10766730482725 15073422675815 32300191448175 45220268027445 75367113379075 226101340137225