Search a number
-
+
226838016 = 293361269
BaseRepresentation
bin11011000010101…
…00011000000000
3120210211120021000
431201110120000
5431032304031
634301532000
75423043216
oct1541243000
9523746230
10226838016
11107053839
1263b74000
1337cc2ca2
14221aacb6
1514dab3e6
hexd854600

226838016 has 160 divisors (see below), whose sum is σ = 685000800. Its totient is φ = 74096640.

The previous prime is 226837981. The next prime is 226838041. The reversal of 226838016 is 610838622.

226838016 is a `hidden beast` number, since 2 + 268 + 380 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843130 + ... + 843398.

It is an arithmetic number, because the mean of its divisors is an integer number (4281255).

Almost surely, 2226838016 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 226838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342500400).

226838016 is an abundant number, since it is smaller than the sum of its proper divisors (458162784).

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

226838016 is an equidigital number, since it uses as much as digits as its factorization.

226838016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 226838016 is about 15061.1425861387. The cubic root of 226838016 is about 609.8718856632.

The spelling of 226838016 in words is "two hundred twenty-six million, eight hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 269 288 366 384 432 488 512 538 549 576 732 768 807 864 976 1076 1098 1152 1464 1536 1614 1647 1728 1952 2152 2196 2304 2421 2928 3228 3294 3456 3904 4304 4392 4608 4842 5856 6456 6588 6912 7263 7808 8608 8784 9684 11712 12912 13176 13824 14526 15616 16409 17216 17568 19368 23424 25824 26352 29052 31232 32818 34432 35136 38736 46848 49227 51648 52704 58104 65636 68864 70272 77472 93696 98454 103296 105408 116208 131272 137728 140544 147681 154944 196908 206592 210816 232416 262544 281088 295362 309888 393816 413184 421632 443043 464832 525088 590724 619776 787632 843264 886086 929664 1050176 1181448 1239552 1575264 1772172 1859328 2100352 2362896 3150528 3544344 3718656 4200704 4725792 6301056 7088688 8401408 9451584 12602112 14177376 18903168 25204224 28354752 37806336 56709504 75612672 113419008 226838016