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226822092 = 223717193823
BaseRepresentation
bin11011000010100…
…00011111001100
3120210210202102020
431201100133030
5431031301332
634301330140
75422645620
oct1541203714
9523722366
10226822092
11107042882
1263b66950
1337cb8973
14221a5180
1514da682c
hexd8507cc

226822092 has 96 divisors (see below), whose sum is σ = 644539392. Its totient is φ = 60604416.

The previous prime is 226822087. The next prime is 226822093. The reversal of 226822092 is 290228622.

It is a super-2 number, since 2×2268220922 = 102896522838512928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226822093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275193 + ... + 276015.

It is an arithmetic number, because the mean of its divisors is an integer number (6713952).

Almost surely, 2226822092 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 226822092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322269696).

226822092 is an abundant number, since it is smaller than the sum of its proper divisors (417717300).

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

226822092 is a wasteful number, since it uses less digits than its factorization.

226822092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 226822092 is about 15060.6139317094. The cubic root of 226822092 is about 609.8576143528.

The spelling of 226822092 in words is "two hundred twenty-six million, eight hundred twenty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 193 204 238 357 386 476 579 714 772 823 1158 1351 1428 1646 2316 2469 2702 3281 3292 4053 4938 5404 5761 6562 8106 9843 9876 11522 13124 13991 16212 17283 19686 22967 23044 27982 34566 39372 41973 45934 55964 68901 69132 83946 91868 97937 137802 158839 167892 195874 275604 293811 317678 391748 476517 587622 635356 953034 1111873 1175244 1906068 2223746 2700263 3335619 4447492 5400526 6671238 8100789 10801052 13342476 16201578 18901841 32403156 37803682 56705523 75607364 113411046 226822092