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224285941820 = 225353112328289
BaseRepresentation
bin1101000011100001111…
…0111110000000111100
3210102220212120100122002
43100320132332000330
512133314200114240
6251011402041432
722130005023053
oct3207036760074
9712825510562
10224285941820
11871346267a6
1237574aa9278
13181c4933555
14abd96b139a
155c7a5e8d15
hex34387be03c

224285941820 has 48 divisors (see below), whose sum is σ = 472772069280. Its totient is φ = 89377406976.

The previous prime is 224285941787. The next prime is 224285941823. The reversal of 224285941820 is 28149582422.

224285941820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224285941823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7914236 + ... + 7942524.

It is an arithmetic number, because the mean of its divisors is an integer number (9849418110).

Almost surely, 2224285941820 is an apocalyptic number.

224285941820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224285941820 is an abundant number, since it is smaller than the sum of its proper divisors (248486127460).

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

224285941820 is a wasteful number, since it uses less digits than its factorization.

224285941820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29774 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 224285941820 in words is "two hundred twenty-four billion, two hundred eighty-five million, nine hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 353 706 1123 1412 1765 2246 3530 4492 5615 7060 11230 22460 28289 56578 113156 141445 282890 396419 565780 792838 1585676 1982095 3964190 7928380 9986017 19972034 31768547 39944068 49930085 63537094 99860170 127074188 158842735 199720340 317685470 635370940 11214297091 22428594182 44857188364 56071485455 112142970910 224285941820