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223934208 = 2831511931
BaseRepresentation
bin11010101100011…
…11011100000000
3120121101000222120
431112033130000
5424311343313
634115404240
75356260261
oct1526173400
9517330876
10223934208
111054500a3
1262bb3680
1337517364
1421a52968
15149d5d23
hexd58f700

223934208 has 72 divisors (see below), whose sum is σ = 600249216. Its totient is φ = 74112000.

The previous prime is 223934197. The next prime is 223934219. The reversal of 223934208 is 802439322.

223934208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223934197) and next prime (223934219).

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 7 ways as a sum of consecutive naturals, for example, 115003 + ... + 116933.

Almost surely, 2223934208 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 223934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300124608).

223934208 is an abundant number, since it is smaller than the sum of its proper divisors (376315008).

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

223934208 is a wasteful number, since it uses less digits than its factorization.

223934208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 223934208 is about 14964.4314292258. The cubic root of 223934208 is about 607.2583292488.

The spelling of 223934208 in words is "two hundred twenty-three million, nine hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 604 768 906 1208 1812 1931 2416 3624 3862 4832 5793 7248 7724 9664 11586 14496 15448 19328 23172 28992 30896 38656 46344 57984 61792 92688 115968 123584 185376 247168 291581 370752 494336 583162 741504 874743 1166324 1483008 1749486 2332648 3498972 4665296 6997944 9330592 13995888 18661184 27991776 37322368 55983552 74644736 111967104 223934208