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223021161248 = 2531226932
BaseRepresentation
bin1100111110110100011…
…0001101101100100000
3210022122201122211212012
43033231012031230200
512123221404124443
6250242101252052
722053446410124
oct3175506155440
9708581584765
10223021161248
11866456a43a6
1237281404028
13180528aa192
14ab1971b584
155c04564118
hex33ed18db20

223021161248 has 54 divisors (see below), whose sum is σ = 453861979137. Its totient is φ = 107873393280.

The previous prime is 223021161239. The next prime is 223021161299. The reversal of 223021161248 is 842161120322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223021161248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221212190224 + 1808971024 = 470332^2 + 42532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333932.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 82813790 + ... + 82816482.

Almost surely, 2223021161248 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 223021161248

223021161248 is an abundant number, since it is smaller than the sum of its proper divisors (230840817889).

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

223021161248 is an frugal number, since it uses more digits than its factorization.

223021161248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Multiplying 223021161248 by its sum of digits (32), we get a square (7136677159936 = 26714562).

223021161248 divided by its sum of digits (32) gives a square (6969411289 = 834832).

The spelling of 223021161248 in words is "two hundred twenty-three billion, twenty-one million, one hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 2693 3844 5386 7688 10772 15376 21544 30752 43088 83483 86176 166966 333932 667864 1335728 2587973 2671456 5175946 7252249 10351892 14504498 20703784 29008996 41407568 58017992 82815136 116035984 224819719 232071968 449639438 899278876 1798557752 3597115504 6969411289 7194231008 13938822578 27877645156 55755290312 111510580624 223021161248