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2228082448224 = 25323209192169
BaseRepresentation
bin100000011011000100000…
…100000001011101100000
321220000001220012201022110
4200123010010001131200
5243001103101320344
64423322243235320
7316654650216663
oct40330404013540
97800056181273
102228082448224
11789a19501a86
122bb998378b40
131321518aaac9
1479ba84636da
153ce56a523b9
hex206c4101760

2228082448224 has 24 divisors (see below), whose sum is σ = 5848716426840. Its totient is φ = 742694149376.

The previous prime is 2228082448219. The next prime is 2228082448237. The reversal of 2228082448224 is 4228442808222.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 11604595989 + ... + 11604596180.

It is an arithmetic number, because the mean of its divisors is an integer number (243696517785).

Almost surely, 22228082448224 is an apocalyptic number.

2228082448224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228082448224 is an abundant number, since it is smaller than the sum of its proper divisors (3620633978616).

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

2228082448224 is a wasteful number, since it uses less digits than its factorization.

2228082448224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23209192182 (or 23209192174 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 2228082448224 in words is "two trillion, two hundred twenty-eight billion, eighty-two million, four hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23209192169 46418384338 69627576507 92836768676 139255153014 185673537352 278510306028 371347074704 557020612056 742694149408 1114041224112 2228082448224