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224533540 = 225711211691
BaseRepresentation
bin11010110001000…
…01110000100100
3120122111111010001
431120201300210
5424440033130
634140311044
75364334510
oct1530416044
9518444101
10224533540
1110581a410
1263242484
13376970aa
1421b6b140
1514aa36ca
hexd621c24

224533540 has 96 divisors (see below), whose sum is σ = 591510528. Its totient is φ = 69552000.

The previous prime is 224533531. The next prime is 224533541. The reversal of 224533540 is 45335422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224533499 and 224533508.

It is not an unprimeable number, because it can be changed into a prime (224533541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324595 + ... + 325285.

It is an arithmetic number, because the mean of its divisors is an integer number (6161568).

Almost surely, 2224533540 is an apocalyptic number.

224533540 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 224533540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295755264).

224533540 is an abundant number, since it is smaller than the sum of its proper divisors (366976988).

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

224533540 is a wasteful number, since it uses less digits than its factorization.

224533540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 224533540 is about 14984.4432662679. The cubic root of 224533540 is about 607.7995970699.

Adding to 224533540 its reverse (45335422), we get a palindrome (269868962).

It can be divided in two parts, 2 and 24533540, that added together give a palindrome (24533542).

The spelling of 224533540 in words is "two hundred twenty-four million, five hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 211 220 308 385 422 691 770 844 1055 1382 1477 1540 2110 2321 2764 2954 3455 4220 4642 4837 5908 6910 7385 7601 9284 9674 11605 13820 14770 15202 16247 19348 23210 24185 29540 30404 32494 38005 46420 48370 53207 64988 76010 81235 96740 106414 145801 152020 162470 212828 266035 291602 324940 532070 583204 729005 1020607 1064140 1458010 1603811 2041214 2916020 3207622 4082428 5103035 6415244 8019055 10206070 11226677 16038110 20412140 22453354 32076220 44906708 56133385 112266770 224533540