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224215280 = 2454196689
BaseRepresentation
bin11010101110101…
…00000011110000
3120121220022112122
431113110003300
5424344342110
634125413412
75361540602
oct1527240360
9517808478
10224215280
11105622293
126310a268
13375b5283
1421ac7172
1514a3e255
hexd5d40f0

224215280 has 40 divisors (see below), whose sum is σ = 522622800. Its totient is φ = 89458688.

The previous prime is 224215273. The next prime is 224215283. The reversal of 224215280 is 82512422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224215283) 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, 30176 + ... + 36864.

It is an arithmetic number, because the mean of its divisors is an integer number (13065570).

Almost surely, 2224215280 is an apocalyptic number.

224215280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224215280 is an abundant number, since it is smaller than the sum of its proper divisors (298407520).

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

224215280 is a wasteful number, since it uses less digits than its factorization.

224215280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 224215280 is about 14973.8198199391. The cubic root of 224215280 is about 607.5122906736.

The spelling of 224215280 in words is "two hundred twenty-four million, two hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 419 838 1676 2095 3352 4190 6689 6704 8380 13378 16760 26756 33445 33520 53512 66890 107024 133780 267560 535120 2802691 5605382 11210764 14013455 22421528 28026910 44843056 56053820 112107640 224215280