Search a number
-
+
224230344 = 233133072341
BaseRepresentation
bin11010101110101…
…11101111001000
3120121221002012120
431113113233020
5424400332334
634130011240
75361632532
oct1527275710
9517832176
10224230344
11105632638
1263116b20
13375bc0a0
1421acc852
1514a43949
hexd5d7bc8

224230344 has 64 divisors (see below), whose sum is σ = 605922240. Its totient is φ = 68739840.

The previous prime is 224230339. The next prime is 224230379. The reversal of 224230344 is 443032422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94614 + ... + 96954.

It is an arithmetic number, because the mean of its divisors is an integer number (9467535).

Almost surely, 2224230344 is an apocalyptic number.

224230344 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 224230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302961120).

224230344 is an abundant number, since it is smaller than the sum of its proper divisors (381691896).

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

224230344 is a wasteful number, since it uses less digits than its factorization.

224230344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 224230344 is about 14974.3228227523. The cubic root of 224230344 is about 607.5258956937.

Adding to 224230344 its reverse (443032422), we get a palindrome (667262766).

The spelling of 224230344 in words is "two hundred twenty-four million, two hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 307 312 614 921 1228 1842 2341 2456 3684 3991 4682 7023 7368 7982 9364 11973 14046 15964 18728 23946 28092 30433 31928 47892 56184 60866 91299 95784 121732 182598 243464 365196 718687 730392 1437374 2156061 2874748 4312122 5749496 8624244 9342931 17248488 18685862 28028793 37371724 56057586 74743448 112115172 224230344