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226704312 = 233347137163
BaseRepresentation
bin11011000001100…
…11101110111000
3120210120202212000
431200303232320
5431014014222
634255021000
75421645342
oct1540635670
9523522760
10226704312
11106a7233a
1263b0a760
1337c77183
1422174292
1514d819ac
hexd833bb8

226704312 has 128 divisors (see below), whose sum is σ = 651801600. Its totient is φ = 72969984.

The previous prime is 226704301. The next prime is 226704343. The reversal of 226704312 is 213407622.

226704312 is a `hidden beast` number, since 226 + 7 + 0 + 431 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1390743 + ... + 1390905.

It is an arithmetic number, because the mean of its divisors is an integer number (5092200).

Almost surely, 2226704312 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 226704312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325900800).

226704312 is an abundant number, since it is smaller than the sum of its proper divisors (425097288).

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

226704312 is a wasteful number, since it uses less digits than its factorization.

226704312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226704312 is about 15056.7032248099. The cubic root of 226704312 is about 609.7520375320.

The spelling of 226704312 in words is "two hundred twenty-six million, seven hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 137 141 163 188 216 274 282 326 376 411 423 489 548 564 652 822 846 978 1096 1128 1233 1269 1304 1467 1644 1692 1956 2466 2538 2934 3288 3384 3699 3912 4401 4932 5076 5868 6439 7398 7661 8802 9864 10152 11736 12878 14796 15322 17604 19317 22331 22983 25756 29592 30644 35208 38634 44662 45966 51512 57951 61288 66993 68949 77268 89324 91932 115902 133986 137898 154536 173853 178648 183864 200979 206847 231804 267972 275796 347706 401958 413694 463608 535944 551592 602937 695412 803916 827388 1049557 1205874 1390824 1607832 1654776 2099114 2411748 3148671 4198228 4823496 6297342 8396456 9446013 12594684 18892026 25189368 28338039 37784052 56676078 75568104 113352156 226704312