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223033130200 = 235219229256301
BaseRepresentation
bin1100111110110111001…
…1110111110011011000
3210022200120011221011201
43033231303313303120
512123232440131300
6250243210003544
722053653220046
oct3175563676330
9708616157151
10223033130200
11866514298a1
12372854165b4
131805520acba
14ab1b155396
155c0562a66a
hex33edcf7cd8

223033130200 has 96 divisors (see below), whose sum is σ = 548229978000. Its totient is φ = 84148416000.

The previous prime is 223033130189. The next prime is 223033130209. The reversal of 223033130200 is 2031330322.

It is a happy number.

223033130200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223033130209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742050 + ... + 998350.

Almost surely, 2223033130200 is an apocalyptic number.

223033130200 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 223033130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274114989000).

223033130200 is an abundant number, since it is smaller than the sum of its proper divisors (325196847800).

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

223033130200 is a wasteful number, since it uses less digits than its factorization.

223033130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256565 (or 256556 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 223033130200 its reverse (2031330322), we get a palindrome (225064460522).

The spelling of 223033130200 in words is "two hundred twenty-three billion, thirty-three million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 229 380 458 475 760 916 950 1145 1832 1900 2290 3800 4351 4580 5725 8702 9160 11450 17404 21755 22900 34808 43510 45800 87020 108775 174040 217550 256301 435100 512602 870200 1025204 1281505 2050408 2563010 4869719 5126020 6407525 9739438 10252040 12815050 19478876 24348595 25630100 38957752 48697190 51260200 58692929 97394380 117385858 121742975 194788760 234771716 243485950 293464645 469543432 486971900 586929290 973943800 1115165651 1173858580 1467323225 2230331302 2347717160 2934646450 4460662604 5575828255 5869292900 8921325208 11151656510 11738585800 22303313020 27879141275 44606626040 55758282550 111516565100 223033130200