Search a number
-
+
226726128 = 2434174943
BaseRepresentation
bin11011000001110…
…01000011110000
3120210121212210000
431200321003300
5431020214003
634255310000
75422066056
oct1540710360
9523555700
10226726128
11106a87772
1263b1b300
1337c84095
142217c1d6
1514d881a3
hexd8390f0

226726128 has 50 divisors (see below), whose sum is σ = 656214944. Its totient is φ = 75574944.

The previous prime is 226726117. The next prime is 226726133. The reversal of 226726128 is 821627622.

226726128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226726092 and 226726101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 86176 + ... + 88767.

Almost surely, 2226726128 is an apocalyptic number.

It is an amenable number.

226726128 is an abundant number, since it is smaller than the sum of its proper divisors (429488816).

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

226726128 is a wasteful number, since it uses less digits than its factorization.

226726128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174963 (or 174948 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 226726128 is about 15057.4276687620. The cubic root of 226726128 is about 609.7715959363.

The spelling of 226726128 in words is "two hundred twenty-six million, seven hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 174943 349886 524829 699772 1049658 1399544 1574487 2099316 2799088 3148974 4198632 4723461 6297948 8397264 9446922 12595896 14170383 18893844 25191792 28340766 37787688 56681532 75575376 113363064 226726128