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226535472 = 243217293191
BaseRepresentation
bin11011000000010…
…10100000110000
3120210021012020200
431200022200300
5430443113342
634251235200
75420343162
oct1540124060
9523235220
10226535472
111069674a9
1263a48b00
1337c18377
142212c932
1514d4b94c
hexd80a830

226535472 has 120 divisors (see below), whose sum is σ = 694643040. Its totient is φ = 68597760.

The previous prime is 226535467. The next prime is 226535473. The reversal of 226535472 is 274535622.

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

It is not an unprimeable number, because it can be changed into a prime (226535473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69397 + ... + 72587.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2226535472 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 226535472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

226535472 is an abundant number, since it is smaller than the sum of its proper divisors (468107568).

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

226535472 is a wasteful number, since it uses less digits than its factorization.

226535472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3242 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 226535472 is about 15051.0953754204. The cubic root of 226535472 is about 609.6006272339.

The spelling of 226535472 in words is "two hundred twenty-six million, five hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 408 464 493 522 612 696 816 986 1044 1224 1392 1479 1972 2088 2448 2958 3191 3944 4176 4437 5916 6382 7888 8874 9573 11832 12764 17748 19146 23664 25528 28719 35496 38292 51056 54247 57438 70992 76584 92539 108494 114876 153168 162741 185078 216988 229752 277617 325482 370156 433976 459504 488223 555234 650964 740312 832851 867952 976446 1110468 1301928 1480624 1573163 1665702 1952892 2220936 2603856 3146326 3331404 3905784 4441872 4719489 6292652 6662808 7811568 9438978 12585304 13325616 14158467 18877956 25170608 28316934 37755912 56633868 75511824 113267736 226535472