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227914344 = 23337307491
BaseRepresentation
bin11011001010110…
…11001001101000
3120212212020201000
431211123021220
5431321224334
634340555000
75435145210
oct1545331150
9525766630
10227914344
11107719469
12643b2a60
13382abb78
14223ab240
1515020299
hexd95b268

227914344 has 128 divisors (see below), whose sum is σ = 727372800. Its totient is φ = 64774080.

The previous prime is 227914283. The next prime is 227914373. The reversal of 227914344 is 443419722.

227914344 is a `hidden beast` number, since 227 + 91 + 4 + 344 = 666.

227914344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 227914299 and 227914308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463939 + ... + 464429.

It is an arithmetic number, because the mean of its divisors is an integer number (5682600).

Almost surely, 2227914344 is an apocalyptic number.

227914344 is a gapful number since it is divisible by the number (24) 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 227914344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363686400).

227914344 is an abundant number, since it is smaller than the sum of its proper divisors (499458456).

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

227914344 is a wasteful number, since it uses less digits than its factorization.

227914344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 227914344 is about 15096.8322505087. The cubic root of 227914344 is about 610.8349615816.

The spelling of 227914344 in words is "two hundred twenty-seven million, nine hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 307 378 491 504 614 756 921 982 1228 1473 1512 1842 1964 2149 2456 2763 2946 3437 3684 3928 4298 4419 5526 5892 6447 6874 7368 8289 8596 8838 10311 11052 11784 12894 13257 13748 16578 17192 17676 19341 20622 22104 25788 26514 27496 30933 33156 35352 38682 41244 51576 53028 58023 61866 66312 77364 82488 92799 106056 116046 123732 150737 154728 185598 232092 247464 301474 371196 452211 464184 602948 742392 904422 1055159 1205896 1356633 1808844 2110318 2713266 3165477 3617688 4069899 4220636 5426532 6330954 8139798 8441272 9496431 10853064 12661908 16279596 18992862 25323816 28489293 32559192 37985724 56978586 75971448 113957172 227914344