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224316480 = 2635233663
BaseRepresentation
bin11010101111011…
…00110001000000
3120122002110100210
431113230301000
5424411111410
634131514120
75362441623
oct1527546100
9518073323
10224316480
11105691323
1263158940
133761c35b
1421b11dba
1514a5e220
hexd5ecc40

224316480 has 56 divisors (see below), whose sum is σ = 712207872. Its totient is φ = 59817472.

The previous prime is 224316457. The next prime is 224316487. The reversal of 224316480 is 84613422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (224316487) 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 7 ways as a sum of consecutive naturals, for example, 115872 + ... + 117791.

Almost surely, 2224316480 is an apocalyptic number.

224316480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224316480 is an abundant number, since it is smaller than the sum of its proper divisors (487891392).

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

224316480 is a wasteful number, since it uses less digits than its factorization.

224316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233683 (or 233673 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 224316480 is about 14977.1986699783. The cubic root of 224316480 is about 607.6036775413.

The spelling of 224316480 in words is "two hundred twenty-four million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 233663 467326 700989 934652 1168315 1401978 1869304 2336630 2803956 3504945 3738608 4673260 5607912 7009890 7477216 9346520 11215824 14019780 14954432 18693040 22431648 28039560 37386080 44863296 56079120 74772160 112158240 224316480