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226360672 = 2537414663
BaseRepresentation
bin11010111110111…
…11110101100000
3120202221022110121
431133133311200
5430422020142
634243410024
75416014436
oct1537376540
9522838417
10226360672
1110685813a
1263983914
1337b86935
14220c4d56
1514d14c67
hexd7dfd60

226360672 has 48 divisors (see below), whose sum is σ = 468955872. Its totient is φ = 107412480.

The previous prime is 226360669. The next prime is 226360679. The reversal of 226360672 is 276063622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226360679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46213 + ... + 50875.

It is an arithmetic number, because the mean of its divisors is an integer number (9769914).

Almost surely, 2226360672 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 226360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234477936).

226360672 is an abundant number, since it is smaller than the sum of its proper divisors (242595200).

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

226360672 is a wasteful number, since it uses less digits than its factorization.

226360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 226360672 is about 15045.2873684752. The cubic root of 226360672 is about 609.4437929156.

The spelling of 226360672 in words is "two hundred twenty-six million, three hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 592 656 1184 1312 1517 3034 4663 6068 9326 12136 18652 24272 37304 48544 74608 149216 172531 191183 345062 382366 690124 764732 1380248 1529464 2760496 3058928 5520992 6117856 7073771 14147542 28295084 56590168 113180336 226360672