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226338012 = 223283211359
BaseRepresentation
bin11010111110110…
…10010011011100
3120202220011101100
431133122103130
5430420304022
634243113100
75415561405
oct1537322334
9522804340
10226338012
1110684210a
1263972790
1337b79524
14220ba9ac
1514d0d1ac
hexd7da4dc

226338012 has 72 divisors (see below), whose sum is σ = 583390080. Its totient is φ = 73977120.

The previous prime is 226337987. The next prime is 226338029. The reversal of 226338012 is 210833622.

226338012 is a `hidden beast` number, since 22 + 633 + 8 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×2263380122 = 102457791352224288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630289 + ... + 630647.

It is an arithmetic number, because the mean of its divisors is an integer number (8102640).

Almost surely, 2226338012 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 226338012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695040).

226338012 is an abundant number, since it is smaller than the sum of its proper divisors (357052068).

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

226338012 is a wasteful number, since it uses less digits than its factorization.

226338012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226338012 is about 15044.5342899008. The cubic root of 226338012 is about 609.4234559653.

The spelling of 226338012 in words is "two hundred twenty-six million, three hundred thirty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 211 249 332 359 422 498 633 718 747 844 996 1077 1266 1436 1494 1899 2154 2532 2988 3231 3798 4308 6462 7596 12924 17513 29797 35026 52539 59594 70052 75749 89391 105078 119188 151498 157617 178782 210156 227247 268173 302996 315234 357564 454494 536346 630468 681741 908988 1072692 1363482 2726964 6287167 12574334 18861501 25148668 37723002 56584503 75446004 113169006 226338012