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226005314101 = 7222926837507
BaseRepresentation
bin1101001001111011110…
…1110110101000110101
3210121100200212111222221
43102132331312220311
512200324330022401
6251454142122341
722220423321200
oct3223675665065
9717320774887
10226005314101
1187937120626
12379748803b1
1318409c035b8
14ad1db9a937
155d2b5277a1
hex349ef76a35

226005314101 has 24 divisors (see below), whose sum is σ = 264185797920. Its totient is φ = 192775336992.

The previous prime is 226005314009. The next prime is 226005314147. The reversal of 226005314101 is 101413500622.

It is a happy number.

It is not a de Polignac number, because 226005314101 - 237 = 88566360629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226005312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30102190 + ... + 30109696.

It is an arithmetic number, because the mean of its divisors is an integer number (11007741580).

Almost surely, 2226005314101 is an apocalyptic number.

It is an amenable number.

226005314101 is a deficient number, since it is larger than the sum of its proper divisors (38180483819).

226005314101 is a wasteful number, since it uses less digits than its factorization.

226005314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 226005314101 its reverse (101413500622), we get a palindrome (327418814723).

The spelling of 226005314101 in words is "two hundred twenty-six billion, five million, three hundred fourteen thousand, one hundred one".

Divisors: 1 7 49 229 1603 2683 7507 11221 18781 52549 131467 367843 614407 1719103 4300849 12033721 20141281 30105943 84236047 140988967 986922769 4612353349 32286473443 226005314101