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224735540 = 22511236777
BaseRepresentation
bin11010110010100…
…11000100110100
3120122212202012112
431121103010310
5430013014130
634144510152
75366135441
oct1531230464
9518782175
10224735540
11105948157
126331b358
1337738013
1421bc09c8
1514ae3495
hexd653134

224735540 has 12 divisors (see below), whose sum is σ = 471944676. Its totient is φ = 89894208.

The previous prime is 224735513. The next prime is 224735549. The reversal of 224735540 is 45537422.

It can be written as a sum of positive squares in 2 ways, for example, as 147962896 + 76772644 = 12164^2 + 8762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224735497 and 224735506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224735549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5618369 + ... + 5618408.

It is an arithmetic number, because the mean of its divisors is an integer number (39328723).

Almost surely, 2224735540 is an apocalyptic number.

224735540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224735540 is an abundant number, since it is smaller than the sum of its proper divisors (247209136).

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

224735540 is a wasteful number, since it uses less digits than its factorization.

224735540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236786 (or 11236784 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 224735540 is about 14991.1820748065. The cubic root of 224735540 is about 607.9818099648.

The spelling of 224735540 in words is "two hundred twenty-four million, seven hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 11236777 22473554 44947108 56183885 112367770 224735540