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226819098 = 232112223467
BaseRepresentation
bin11011000010011…
…11110000011010
3120210210121022100
431201033300122
5431031202343
634301304230
75422634112
oct1541176032
9523717270
10226819098
11107040600
1263b65076
1337cb74ac
14221a4042
1514da59d3
hexd84fc1a

226819098 has 72 divisors (see below), whose sum is σ = 543763584. Its totient is φ = 68278320.

The previous prime is 226819057. The next prime is 226819129. The reversal of 226819098 is 890918622.

226819098 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 485461 + ... + 485927.

It is an arithmetic number, because the mean of its divisors is an integer number (7552272).

Almost surely, 2226819098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226819098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

226819098 is an abundant number, since it is smaller than the sum of its proper divisors (316944486).

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

226819098 is a wasteful number, since it uses less digits than its factorization.

226819098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 226819098 is about 15060.5145330430. The cubic root of 226819098 is about 609.8549310138.

The spelling of 226819098 in words is "two hundred twenty-six million, eight hundred nineteen thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 223 242 363 446 467 669 726 934 1089 1338 1401 2007 2178 2453 2802 4014 4203 4906 5137 7359 8406 10274 14718 15411 22077 26983 30822 44154 46233 53966 56507 80949 92466 104141 113014 161898 169521 208282 242847 312423 339042 485694 508563 624846 937269 1017126 1145551 1874538 2291102 3436653 6873306 10309959 12601061 20619918 25202122 37803183 75606366 113409549 226819098