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401443224 = 233713397463
BaseRepresentation
bin10111111011011…
…000100110011000
31000222101102120120
4113323120212120
51310232140344
6103500153240
712643132260
oct2773304630
91028342516
10401443224
11196671266
12b2538820
1365228490
143b45c7a0
152539b219
hex17ed8998

401443224 has 128 divisors (see below), whose sum is σ = 1240995840. Its totient is φ = 105380352.

The previous prime is 401443223. The next prime is 401443241. The reversal of 401443224 is 422344104.

It is a happy number.

It is a super-2 number, since 2×4014432242 = 322313324191028352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 401443194 and 401443203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401443223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866817 + ... + 867279.

It is an arithmetic number, because the mean of its divisors is an integer number (9695280).

Almost surely, 2401443224 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 401443224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620497920).

401443224 is an abundant number, since it is smaller than the sum of its proper divisors (839552616).

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

401443224 is a wasteful number, since it uses less digits than its factorization.

401443224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 401443224 is about 20036.0481133381. The cubic root of 401443224 is about 737.6913832145.

Adding to 401443224 its reverse (422344104), we get a palindrome (823787328).

The spelling of 401443224 in words is "four hundred one million, four hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 397 463 546 728 794 926 1092 1191 1389 1588 1852 2184 2382 2778 2779 3176 3241 3704 4764 5161 5556 5558 6019 6482 8337 9528 9723 10322 11112 11116 12038 12964 15483 16674 18057 19446 20644 22232 24076 25928 30966 33348 36114 36127 38892 41288 42133 48152 61932 66696 72228 72254 77784 84266 108381 123864 126399 144456 144508 168532 183811 216762 252798 289016 337064 367622 433524 505596 551433 735244 867048 1011192 1102866 1286677 1470488 2205732 2389543 2573354 3860031 4411464 4779086 5146708 7168629 7720062 9558172 10293416 14337258 15440124 16726801 19116344 28674516 30880248 33453602 50180403 57349032 66907204 100360806 133814408 200721612 401443224