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224521040 = 24517165089
BaseRepresentation
bin11010110000111…
…10101101010000
3120122110211222002
431120132231100
5424434133130
634140133132
75364253202
oct1530365520
9518424862
10224521040
11105810a87
12632371a8
13376914b3
1421b66772
1514a9eb45
hexd61eb50

224521040 has 40 divisors (see below), whose sum is σ = 552721320. Its totient is φ = 84525056.

The previous prime is 224521039. The next prime is 224521049. The reversal of 224521040 is 40125422.

It is a happy number.

224521040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 219395344 = 2264^2 + 14812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224521049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81185 + ... + 83904.

It is an arithmetic number, because the mean of its divisors is an integer number (13818033).

Almost surely, 2224521040 is an apocalyptic number.

224521040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224521040 is an abundant number, since it is smaller than the sum of its proper divisors (328200280).

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

224521040 is a wasteful number, since it uses less digits than its factorization.

224521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165119 (or 165113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 224521040 is about 14984.0261612158. The cubic root of 224521040 is about 607.7883179295.

Adding to 224521040 its reverse (40125422), we get a palindrome (264646462).

The spelling of 224521040 in words is "two hundred twenty-four million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 165089 330178 660356 825445 1320712 1650890 2641424 2806513 3301780 5613026 6603560 11226052 13207120 14032565 22452104 28065130 44904208 56130260 112260520 224521040