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226457101001 = 897919321311
BaseRepresentation
bin1101001011100111100…
…1010010001011001001
3210122112011222200010002
43102321321102023021
512202241004213001
6252011041332345
722234550412155
oct3227171221311
9718464880102
10226457101001
118804914782a
1237a800370b5
131847c6a7721
14ad63ba2065
155d5601a46b
hex34b9e522c9

226457101001 has 8 divisors (see below), whose sum is σ = 229031193600. Its totient is φ = 223883667040.

The previous prime is 226457100983. The next prime is 226457101009. The reversal of 226457101001 is 100101754622.

226457101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226457101001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226457101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544136 + ... + 865446.

It is an arithmetic number, because the mean of its divisors is an integer number (28628899200).

Almost surely, 2226457101001 is an apocalyptic number.

It is an amenable number.

226457101001 is a deficient number, since it is larger than the sum of its proper divisors (2574092599).

226457101001 is an equidigital number, since it uses as much as digits as its factorization.

226457101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329319.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 226457101001 its reverse (100101754622), we get a palindrome (326558855623).

The spelling of 226457101001 in words is "two hundred twenty-six billion, four hundred fifty-seven million, one hundred one thousand, one".

Divisors: 1 89 7919 321311 704791 28596679 2544461809 226457101001