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224407064 = 23751669
BaseRepresentation
bin11010110000000…
…10111000011000
3120122021001121202
431120002320120
5424422011224
634133453332
75363300000
oct1530027030
9518231552
10224407064
11105743392
12631a1248
133765165b
1421b37000
1514a7aeae
hexd602e18

224407064 has 48 divisors (see below), whose sum is σ = 491180400. Its totient is φ = 96116832.

The previous prime is 224407033. The next prime is 224407097. The reversal of 224407064 is 460704422.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 133622 + ... + 135290.

It is an arithmetic number, because the mean of its divisors is an integer number (10232925).

Almost surely, 2224407064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224407064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245590200).

224407064 is an abundant number, since it is smaller than the sum of its proper divisors (266773336).

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

224407064 is an frugal number, since it uses more digits than its factorization.

224407064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 224407064 is about 14980.2224282552. Note that the first 3 decimals coincide. The cubic root of 224407064 is about 607.6854545088.

The spelling of 224407064 in words is "two hundred twenty-four million, four hundred seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1669 2401 2744 3338 4802 6676 9604 11683 13352 16807 19208 23366 33614 46732 67228 81781 93464 134456 163562 327124 572467 654248 1144934 2289868 4007269 4579736 8014538 16029076 28050883 32058152 56101766 112203532 224407064