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223000010200 = 235211173585917
BaseRepresentation
bin1100111110101111010…
…1100001110111011000
3210022121020212021002001
43033223311201313120
512123201000311300
6250240024050344
722053101545222
oct3175365416730
9708536767061
10223000010200
11866347682a0
12372763039b4
131804b3b2b76
14ab169b3412
155c0278716a
hex33ebd61dd8

223000010200 has 96 divisors (see below), whose sum is σ = 568879504560. Its totient is φ = 80622041600.

The previous prime is 223000010153. The next prime is 223000010257. The reversal of 223000010200 is 2010000322.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87642 + ... + 673558.

Almost surely, 2223000010200 is an apocalyptic number.

223000010200 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 223000010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284439752280).

223000010200 is an abundant number, since it is smaller than the sum of its proper divisors (345879494360).

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

223000010200 is a wasteful number, since it uses less digits than its factorization.

223000010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586117 (or 586108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 223000010200 its reverse (2010000322), we get a palindrome (225010010522).

The spelling of 223000010200 in words is "two hundred twenty-three billion, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 173 200 220 275 346 440 550 692 865 1100 1384 1730 1903 2200 3460 3806 4325 6920 7612 8650 9515 15224 17300 19030 34600 38060 47575 76120 95150 190300 380600 585917 1171834 2343668 2929585 4687336 5859170 6445087 11718340 12890174 14647925 23436680 25780348 29295850 32225435 51560696 58591700 64450870 101363641 117183400 128901740 161127175 202727282 257803480 322254350 405454564 506818205 644508700 810909128 1013636410 1115000051 1289017400 2027272820 2230000102 2534091025 4054545640 4460000204 5068182050 5575000255 8920000408 10136364100 11150000510 20272728200 22300001020 27875001275 44600002040 55750002550 111500005100 223000010200