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223055872 = 212135971
BaseRepresentation
bin11010100101110…
…01000000000000
3120112201102010121
431102321000000
5424100241442
634044510024
75345641444
oct1522710000
9515642117
10223055872
11104a001a6
126284b314
133729a630
14218a4824
15148b0967
hexd4b9000

223055872 has 104 divisors (see below), whose sum is σ = 495391680. Its totient is φ = 99778560.

The previous prime is 223055857. The next prime is 223055887. The reversal of 223055872 is 278550322.

It is an interprime number because it is at equal distance from previous prime (223055857) and next prime (223055887).

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3141597 + ... + 3141667.

Almost surely, 2223055872 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 223055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247695840).

223055872 is an abundant number, since it is smaller than the sum of its proper divisors (272335808).

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

223055872 is an equidigital number, since it uses as much as digits as its factorization.

223055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 223055872 is about 14935.0551388336. The cubic root of 223055872 is about 606.4633401997.

The spelling of 223055872 in words is "two hundred twenty-three million, fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 71 104 118 128 142 208 236 256 284 416 472 512 568 767 832 923 944 1024 1136 1534 1664 1846 1888 2048 2272 3068 3328 3692 3776 4096 4189 4544 6136 6656 7384 7552 8378 9088 12272 13312 14768 15104 16756 18176 24544 26624 29536 30208 33512 36352 49088 53248 54457 59072 60416 67024 72704 98176 108914 118144 120832 134048 145408 196352 217828 236288 241664 268096 290816 392704 435656 472576 536192 785408 871312 945152 1072384 1570816 1742624 1890304 2144768 3141632 3485248 3780608 4289536 6970496 8579072 13940992 17158144 27881984 55763968 111527936 223055872