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226144688 = 24711199661
BaseRepresentation
bin11010111101010…
…11000110110000
3120202112100012012
431132223012300
5430343112223
634235022052
75414124650
oct1536530660
9522470165
10226144688
1110671a940
126389a928
1337b0c533
142206a360
1514cc0c78
hexd7ab1b0

226144688 has 80 divisors (see below), whose sum is σ = 575082240. Its totient is φ = 83462400.

The previous prime is 226144679. The next prime is 226144741. The reversal of 226144688 is 886441622.

226144688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261446882 = 102282839821234688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18578 + ... + 28238.

It is an arithmetic number, because the mean of its divisors is an integer number (7188528).

Almost surely, 2226144688 is an apocalyptic number.

226144688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226144688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287541120).

226144688 is an abundant number, since it is smaller than the sum of its proper divisors (348937552).

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

226144688 is a wasteful number, since it uses less digits than its factorization.

226144688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9700 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 226144688 is about 15038.1078597010. The cubic root of 226144688 is about 609.2498958714.

The spelling of 226144688 in words is "two hundred twenty-six million, one hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 9661 11704 19322 23408 38644 67627 77288 106271 135254 154576 183559 212542 270508 367118 425084 541016 734236 743897 850168 1082032 1284913 1468472 1487794 1700336 2019149 2569826 2936944 2975588 4038298 5139652 5951176 8076596 10279304 11902352 14134043 16153192 20558608 28268086 32306384 56536172 113072344 226144688