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223234011300200 = 23527532914817269
BaseRepresentation
bin110010110000011110110111…
…111100100000000101101000
31002021101222000001220120221212
4302300132313330200011220
5213224431223343101300
62110440142233252252
765010060621666245
oct6260366774400550
91067358001816855
10223234011300200
116514701575351a
12210542b6864088
139773b52833a84
143d1a825d1a5cc
151ac1c67970935
hexcb07b7f20168

223234011300200 has 48 divisors (see below), whose sum is σ = 519026001331500. Its totient is φ = 89292413112320.

The previous prime is 223234011300199. The next prime is 223234011300211. The reversal of 223234011300200 is 2003110432322.

It can be written as a sum of positive squares in 6 ways, for example, as 99235586430436 + 123998424869764 = 9961706^2 + 11135458^2 .

It is a super-3 number, since 3×2232340113002003 (a number of 44 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7657166 + ... + 22474434.

Almost surely, 2223234011300200 is an apocalyptic number.

223234011300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223234011300200 is an abundant number, since it is smaller than the sum of its proper divisors (295791990031300).

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

223234011300200 is a wasteful number, since it uses less digits than its factorization.

223234011300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14892614 (or 14892605 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223234011300200 its reverse (2003110432322), we get a palindrome (225237121732522).

The spelling of 223234011300200 in words is "two hundred twenty-three trillion, two hundred thirty-four billion, eleven million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 75329 150658 301316 376645 602632 753290 1506580 1883225 3013160 3766450 7532900 14817269 15065800 29634538 59269076 74086345 118538152 148172690 296345380 370431725 592690760 740863450 1481726900 2963453800 1116170056501 2232340113002 4464680226004 5580850282505 8929360452008 11161700565010 22323401130020 27904251412525 44646802260040 55808502825050 111617005650100 223234011300200