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223285248 = 21234673
BaseRepresentation
bin11010100111100…
…01000000000000
3120120011001210000
431103301000000
5424130111443
634053440000
75350615254
oct1523610000
9516131700
10223285248
1110504756a
1262940000
133734ab64
1421924264
15149088d3
hexd4f1000

223285248 has 130 divisors (see below), whose sum is σ = 668008814. Its totient is φ = 74317824.

The previous prime is 223285229. The next prime is 223285261. The reversal of 223285248 is 842582322.

It can be written as a sum of positive squares in only one way, i.e., 175509504 + 47775744 = 13248^2 + 6912^2 .

It is a super-3 number, since 3×2232852483 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331440 + ... + 332112.

Almost surely, 2223285248 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 223285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334004407).

223285248 is an abundant number, since it is smaller than the sum of its proper divisors (444723566).

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

223285248 is an frugal number, since it uses more digits than its factorization.

223285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 678 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 223285248 is about 14942.7322802759. The cubic root of 223285248 is about 606.6711513307.

The spelling of 223285248 in words is "two hundred twenty-three million, two hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 673 768 864 1024 1152 1296 1346 1536 1728 2019 2048 2304 2592 2692 3072 3456 4038 4096 4608 5184 5384 6057 6144 6912 8076 9216 10368 10768 12114 12288 13824 16152 18171 18432 20736 21536 24228 27648 32304 36342 36864 41472 43072 48456 54513 55296 64608 72684 82944 86144 96912 109026 110592 129216 145368 165888 172288 193824 218052 258432 290736 331776 344576 387648 436104 516864 581472 689152 775296 872208 1033728 1162944 1378304 1550592 1744416 2067456 2325888 2756608 3101184 3488832 4134912 4651776 6202368 6977664 8269824 9303552 12404736 13955328 18607104 24809472 27910656 37214208 55821312 74428416 111642624 223285248