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224012320 = 2557228573
BaseRepresentation
bin11010101101000…
…10100000100000
3120121112000010121
431112202200200
5424321343240
634121210024
75360034100
oct1526424040
9517460117
10224012320
111054a3854
1263030914
1337543a8c
1421a73200
15149ee04a
hexd5a2820

224012320 has 72 divisors (see below), whose sum is σ = 615655404. Its totient is φ = 76801536.

The previous prime is 224012317. The next prime is 224012323. The reversal of 224012320 is 23210422.

It is an interprime number because it is at equal distance from previous prime (224012317) and next prime (224012323).

It can be written as a sum of positive squares in 2 ways, for example, as 182898576 + 41113744 = 13524^2 + 6412^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 224012294 and 224012303.

It is not an unprimeable number, because it can be changed into a prime (224012323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6447 + ... + 22126.

Almost surely, 2224012320 is an apocalyptic number.

224012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224012320 is an abundant number, since it is smaller than the sum of its proper divisors (391643084).

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

224012320 is a wasteful number, since it uses less digits than its factorization.

224012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28602 (or 28587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 224012320 is about 14967.0411237492. The cubic root of 224012320 is about 607.3289283306.

Adding to 224012320 its reverse (23210422), we get a palindrome (247222742).

The spelling of 224012320 in words is "two hundred twenty-four million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 28573 57146 114292 142865 200011 228584 285730 400022 457168 571460 800044 914336 1000055 1142920 1400077 1600088 2000110 2285840 2800154 3200176 4000220 4571680 5600308 6400352 7000385 8000440 11200616 14000770 16000880 22401232 28001540 32001760 44802464 56003080 112006160 224012320