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226966248 = 233219251661
BaseRepresentation
bin11011000011100…
…11101011101000
3120211002002011100
431201303223220
5431100404443
634304401400
75424116115
oct1541635350
9524062140
10226966248
11107131113
1264016260
1338039472
142220190c
1514dd43d3
hexd873ae8

226966248 has 96 divisors (see below), whose sum is σ = 650613600. Its totient is φ = 71280000.

The previous prime is 226966247. The next prime is 226966249. The reversal of 226966248 is 842669622.

It is an interprime number because it is at equal distance from previous prime (226966247) and next prime (226966249).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226966241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343038 + ... + 343698.

It is an arithmetic number, because the mean of its divisors is an integer number (6777225).

Almost surely, 2226966248 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 226966248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325306800).

226966248 is an abundant number, since it is smaller than the sum of its proper divisors (423647352).

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

226966248 is a wasteful number, since it uses less digits than its factorization.

226966248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 936 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 226966248 is about 15065.3990322195. The cubic root of 226966248 is about 609.9867846281.

The spelling of 226966248 in words is "two hundred twenty-six million, nine hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 251 342 456 502 661 684 753 1004 1322 1368 1506 1983 2008 2259 2644 3012 3966 4518 4769 5288 5949 6024 7932 9036 9538 11898 12559 14307 15864 18072 19076 23796 25118 28614 37677 38152 42921 47592 50236 57228 75354 85842 100472 113031 114456 150708 165911 171684 226062 301416 331822 343368 452124 497733 663644 904248 995466 1327288 1493199 1990932 2986398 3152309 3981864 5972796 6304618 9456927 11945592 12609236 18913854 25218472 28370781 37827708 56741562 75655416 113483124 226966248