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226400705001 = 32193736979679
BaseRepresentation
bin1101001011011010001…
…0001001100111101001
3210122101020212110100100
43102312202021213221
512202132040030001
6252001304500013
722233264145302
oct3226642114751
9718336773310
10226400705001
118801a328669
1237a6517a609
1318470ac0003
14ad5a4c17a9
155d510ca586
hex34b68899e9

226400705001 has 48 divisors (see below), whose sum is σ = 353670803200. Its totient is φ = 139073324544.

The previous prime is 226400704961. The next prime is 226400705009. The reversal of 226400705001 is 100507004622.

226400705001 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 226400705001 - 214 = 226400688617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226400705009) 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 47 ways as a sum of consecutive naturals, for example, 23386080 + ... + 23395758.

Almost surely, 2226400705001 is an apocalyptic number.

It is an amenable number.

226400705001 is a deficient number, since it is larger than the sum of its proper divisors (127270098199).

226400705001 is a wasteful number, since it uses less digits than its factorization.

226400705001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438 (or 13435 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 226400705001 its reverse (100507004622), we get a palindrome (326907709623).

The spelling of 226400705001 in words is "two hundred twenty-six billion, four hundred million, seven hundred five thousand, one".

Divisors: 1 3 9 19 37 57 111 171 333 703 2109 3697 6327 9679 11091 29037 33273 70243 87111 136789 183901 210729 358123 410367 551703 632187 1074369 1231101 1655109 2598991 3223107 6804337 7796973 20413011 23390919 35783263 61239033 107349789 322049367 679881997 1323980731 2039645991 3971942193 6118937973 11915826579 25155633889 75466901667 226400705001