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226003057326 = 232197914395813
BaseRepresentation
bin1101001001111011010…
…1001111101010101110
3210121100112121212021200
43102132311033222232
512200323240313301
6251454021510330
722220365201524
oct3223665175256
9717315555250
10226003057326
118793591a022
1237973b723a6
13184095c3327
14ad1d770314
155d2b22dc86
hex349ed4faae

226003057326 has 96 divisors (see below), whose sum is σ = 522422784000. Its totient is φ = 70404894144.

The previous prime is 226003057297. The next prime is 226003057327. The reversal of 226003057326 is 623750300622.

It is a happy number.

226003057326 is a `hidden beast` number, since 2 + 2 + 60 + 0 + 3 + 0 + 573 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226003057327) 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 47 ways as a sum of consecutive naturals, for example, 38875996 + ... + 38881808.

It is an arithmetic number, because the mean of its divisors is an integer number (5441904000).

Almost surely, 2226003057326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226003057326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261211392000).

226003057326 is an abundant number, since it is smaller than the sum of its proper divisors (296419726674).

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

226003057326 is a wasteful number, since it uses less digits than its factorization.

226003057326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 226003057326 its reverse (623750300622), we get a palindrome (849753357948).

The spelling of 226003057326 in words is "two hundred twenty-six billion, three million, fifty-seven thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1439 1501 2878 3002 4317 4503 5813 8634 9006 11626 12951 13509 17439 25902 27018 27341 34878 52317 54682 82023 104634 110447 113681 164046 220894 227362 246069 331341 341043 459227 492138 662682 682086 918454 994023 1023129 1377681 1988046 2046258 2159939 2755362 4133043 4319878 6479817 8266086 8364907 8725313 12959634 16729814 17450626 19439451 25094721 26175939 38878902 50189442 52351878 75284163 78527817 150568326 157055634 158933233 317866466 476799699 660827653 953599398 1321655306 1430399097 1982482959 2860798194 3964965918 5947448877 11894897754 12555725407 25111450814 37667176221 75334352442 113001528663 226003057326