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224324340 = 22353722731
BaseRepresentation
bin11010101111011…
…10101011110100
3120122002212010220
431113232223310
5424411334330
634132014340
75362503552
oct1527565364
9518085126
10224324340
11105697219
12631613b0
1337622ac6
1421b14bd2
1514a61710
hexd5eeaf4

224324340 has 72 divisors (see below), whose sum is σ = 645779232. Its totient is φ = 58181760.

The previous prime is 224324297. The next prime is 224324357. The reversal of 224324340 is 43423422.

It is a self number, because there is not a number n which added to its sum of digits gives 224324340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80775 + ... + 83505.

It is an arithmetic number, because the mean of its divisors is an integer number (8969156).

Almost surely, 2224324340 is an apocalyptic number.

224324340 is a gapful number since it is divisible by the number (20) 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 224324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322889616).

224324340 is an abundant number, since it is smaller than the sum of its proper divisors (421454892).

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

224324340 is a wasteful number, since it uses less digits than its factorization.

224324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2778 counting only the distinct ones).

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

The square root of 224324340 is about 14977.4610665493. The cubic root of 224324340 is about 607.6107742247.

Adding to 224324340 its reverse (43423422), we get a palindrome (267747762).

The spelling of 224324340 in words is "two hundred twenty-four million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1369 2220 2731 2738 4107 5462 5476 6845 8193 8214 10924 13655 13690 16386 16428 20535 27310 27380 32772 40965 41070 54620 81930 82140 101047 163860 202094 303141 404188 505235 606282 1010470 1212564 1515705 2020940 3031410 3738739 6062820 7477478 11216217 14954956 18693695 22432434 37387390 44864868 56081085 74774780 112162170 224324340