Search a number
-
+
226528470 = 232572311657
BaseRepresentation
bin11011000000010…
…00110011010110
3120210020211122100
431200020303112
5430442402340
634251142530
75420313600
oct1540106326
9523224570
10226528470
11106962213
1263a44a46
1337c1511c
142212a170
1514d49830
hexd808cd6

226528470 has 144 divisors (see below), whose sum is σ = 707660928. Its totient is φ = 50077440.

The previous prime is 226528447. The next prime is 226528481. The reversal of 226528470 is 74825622.

226528470 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 71 ways as a sum of consecutive naturals, for example, 135882 + ... + 137538.

It is an arithmetic number, because the mean of its divisors is an integer number (4914312).

Almost surely, 2226528470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226528470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353830464).

226528470 is an abundant number, since it is smaller than the sum of its proper divisors (481132458).

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

226528470 is a wasteful number, since it uses less digits than its factorization.

226528470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 226528470 is about 15050.8627659679. The cubic root of 226528470 is about 609.5943464404.

The spelling of 226528470 in words is "two hundred twenty-six million, five hundred twenty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 90 93 98 105 126 147 155 186 210 217 245 279 294 310 315 434 441 465 490 558 630 651 735 882 930 1085 1302 1395 1470 1519 1657 1953 2170 2205 2790 3038 3255 3314 3906 4410 4557 4971 6510 7595 8285 9114 9765 9942 11599 13671 14913 15190 16570 19530 22785 23198 24855 27342 29826 34797 45570 49710 51367 57995 68355 69594 74565 81193 102734 104391 115990 136710 149130 154101 162386 173985 208782 243579 256835 308202 347970 359569 405965 462303 487158 513670 521955 719138 730737 770505 811930 924606 1043910 1078707 1217895 1461474 1541010 1797845 2157414 2311515 2435790 2516983 3236121 3595690 3653685 4623030 5033966 5393535 6472242 7307370 7550949 10787070 12584915 15101898 16180605 22652847 25169830 32361210 37754745 45305694 75509490 113264235 226528470