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226404546104 = 231171313115771
BaseRepresentation
bin1101001011011011000…
…0110011011000111000
3210122101112002121100102
43102312300303120320
512202134030433404
6252001523054532
722233341613662
oct3226660633070
9718345077312
10226404546104
1188021511530
1237a66511448
1318471836459
14ad5ac01532
155d515d871e
hex34b6c33638

226404546104 has 64 divisors (see below), whose sum is σ = 471127207680. Its totient is φ = 101136672000.

The previous prime is 226404546089. The next prime is 226404546131. The reversal of 226404546104 is 401645404622.

226404546104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1897739 + ... + 2013509.

It is an arithmetic number, because the mean of its divisors is an integer number (7361362620).

Almost surely, 2226404546104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226404546104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235563603840).

226404546104 is an abundant number, since it is smaller than the sum of its proper divisors (244722661576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226404546104 is a wasteful number, since it uses less digits than its factorization.

226404546104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116172 (or 116168 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 226404546104 in words is "two hundred twenty-six billion, four hundred four million, five hundred forty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 313 568 626 781 1252 1562 2504 3124 3443 6248 6886 13772 22223 27544 44446 88892 115771 177784 231542 244453 463084 488906 926168 977812 1273481 1955624 2546962 5093924 8219741 10187848 16439482 32878964 36236323 65757928 72472646 90417151 144945292 180834302 289890584 361668604 398599553 723337208 797199106 1594398212 2572778933 3188796424 5145557866 10291115732 20582231464 28300568263 56601136526 113202273052 226404546104