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224081040 = 2435933671
BaseRepresentation
bin11010101101100…
…11010010010000
3120121122111101210
431112303102100
5424331043130
634122500120
75360441331
oct1526632220
9517574353
10224081040
11105540447
1263064640
1337569141
1421a90288
1514a145b0
hexd5b3490

224081040 has 40 divisors (see below), whose sum is σ = 694651968. Its totient is φ = 59754880.

The previous prime is 224081027. The next prime is 224081059. The reversal of 224081040 is 40180422.

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

It is a junction number, because it is equal to n+sod(n) for n = 224080998 and 224081016.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 466596 + ... + 467075.

Almost surely, 2224081040 is an apocalyptic number.

224081040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224081040 is an abundant number, since it is smaller than the sum of its proper divisors (470570928).

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

224081040 is a wasteful number, since it uses less digits than its factorization.

224081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933687 (or 933681 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 224081040 is about 14969.3366586499. The cubic root of 224081040 is about 607.3910251786.

The spelling of 224081040 in words is "two hundred twenty-four million, eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 933671 1867342 2801013 3734684 4668355 5602026 7469368 9336710 11204052 14005065 14938736 18673420 22408104 28010130 37346840 44816208 56020260 74693680 112040520 224081040