Search a number
-
+
226815540 = 223571943661
BaseRepresentation
bin11011000010011…
…10111000110100
3120210210102102120
431201032320310
5431031044130
634301235540
75422620540
oct1541167064
9523712376
10226815540
11107038966
1263b62bb0
1337cb59a3
14221a2a20
1514da4910
hexd84ee34

226815540 has 192 divisors, whose sum is σ = 782960640. Its totient is φ = 47900160.

The previous prime is 226815539. The next prime is 226815551. The reversal of 226815540 is 45518622.

226815540 is digitally balanced in base 2 and base 3, because in such bases 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 63 ways as a sum of consecutive naturals, for example, 342810 + ... + 343470.

It is an arithmetic number, because the mean of its divisors is an integer number (4077920).

Almost surely, 2226815540 is an apocalyptic number.

226815540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226815540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391480320).

226815540 is an abundant number, since it is smaller than the sum of its proper divisors (556145100).

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

226815540 is a wasteful number, since it uses less digits than its factorization.

226815540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 226815540 is about 15060.3964091255. The cubic root of 226815540 is about 609.8517421653.

The spelling of 226815540 in words is "two hundred twenty-six million, eight hundred fifteen thousand, five hundred forty".