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223401000 = 23353113659
BaseRepresentation
bin11010101000011…
…01010000101000
3120120100221120010
431110031100220
5424142313000
634100131520
75351606604
oct1524152050
9516327503
10223401000
11105116529
1262996ba0
133738b754
1421954504
151492cd50
hexd50d428

223401000 has 128 divisors (see below), whose sum is σ = 704246400. Its totient is φ = 58956800.

The previous prime is 223400929. The next prime is 223401037. The reversal of 223401000 is 104322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338671 + ... + 339329.

It is an arithmetic number, because the mean of its divisors is an integer number (5501925).

Almost surely, 2223401000 is an apocalyptic number.

223401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352123200).

223401000 is an abundant number, since it is smaller than the sum of its proper divisors (480845400).

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

223401000 is a wasteful number, since it uses less digits than its factorization.

223401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223401000 is about 14946.6049656770. The cubic root of 223401000 is about 606.7759668355.

Adding to 223401000 its reverse (104322), we get a palindrome (223505322).

The spelling of 223401000 in words is "two hundred twenty-three million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 125 150 200 226 250 300 339 375 452 500 565 600 659 678 750 904 1000 1130 1318 1356 1500 1695 1977 2260 2636 2712 2825 3000 3295 3390 3954 4520 5272 5650 6590 6780 7908 8475 9885 11300 13180 13560 14125 15816 16475 16950 19770 22600 26360 28250 32950 33900 39540 42375 49425 56500 65900 67800 74467 79080 82375 84750 98850 113000 131800 148934 164750 169500 197700 223401 247125 297868 329500 339000 372335 395400 446802 494250 595736 659000 744670 893604 988500 1117005 1489340 1787208 1861675 1977000 2234010 2978680 3723350 4468020 5585025 7446700 8936040 9308375 11170050 14893400 18616750 22340100 27925125 37233500 44680200 55850250 74467000 111700500 223401000