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226406004 = 223112241647
BaseRepresentation
bin11010111111010…
…10111001110100
3120210000121122120
431133222321310
5430424443004
634244355540
75416263546
oct1537527164
9523017576
10226406004
11106889200
12639a5bb0
1337ba1466
14220d7696
1514d233d9
hexd7eae74

226406004 has 72 divisors (see below), whose sum is σ = 583982784. Its totient is φ = 68217600.

The previous prime is 226405999. The next prime is 226406041. The reversal of 226406004 is 400604622.

226406004 is digitally balanced in base 3, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349609 + ... + 350255.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2226406004 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 226406004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291991392).

226406004 is an abundant number, since it is smaller than the sum of its proper divisors (357576780).

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

226406004 is a wasteful number, since it uses less digits than its factorization.

226406004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226406004 is about 15046.7938113074. The cubic root of 226406004 is about 609.4844735128.

The spelling of 226406004 in words is "two hundred twenty-six million, four hundred six thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 241 242 363 482 484 647 723 726 964 1294 1446 1452 1941 2588 2651 2892 3882 5302 7117 7764 7953 10604 14234 15906 21351 28468 29161 31812 42702 58322 78287 85404 87483 116644 155927 156574 174966 234861 311854 313148 349932 467781 469722 623708 935562 939444 1715197 1871124 3430394 5145591 6860788 10291182 18867167 20582364 37734334 56601501 75468668 113203002 226406004