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223244020100 = 225241674091987
BaseRepresentation
bin1100111111101001100…
…0010110100110000100
3210100020021000020201202
43033322120112212010
512124200432120400
6250320142042032
722062123601313
oct3177230264604
9710207006652
10223244020100
118674a47a572
1237323b79318
1318089b08c1a
14ab3b17027a
155c18dd64d5
hex33fa616984

223244020100 has 144 divisors (see below), whose sum is σ = 505147460160. Its totient is φ = 85566412800.

The previous prime is 223244020099. The next prime is 223244020121. The reversal of 223244020100 is 1020442322.

223244020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232440201003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112351307 + ... + 112353293.

Almost surely, 2223244020100 is an apocalyptic number.

223244020100 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 223244020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252573730080).

223244020100 is an abundant number, since it is smaller than the sum of its proper divisors (281903440060).

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

223244020100 is a wasteful number, since it uses less digits than its factorization.

223244020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 223244020100 its reverse (1020442322), we get a palindrome (224264462422).

The spelling of 223244020100 in words is "two hundred twenty-three billion, two hundred forty-four million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 82 100 134 164 205 268 335 409 410 670 818 820 1025 1340 1636 1675 1987 2045 2050 2747 3350 3974 4090 4100 5494 6700 7948 8180 9935 10225 10988 13735 16769 19870 20450 27403 27470 33538 39740 40900 49675 54806 54940 67076 68675 81467 83845 99350 109612 133129 137015 137350 162934 167690 198700 266258 274030 274700 325868 335380 407335 419225 532516 548060 665645 685075 812683 814670 838450 1123523 1331290 1370150 1625366 1629340 1676900 2036675 2247046 2662580 2740300 3250732 3328225 4063415 4073350 4494092 5458289 5617615 6656450 8126830 8146700 10916578 11235230 13312900 16253660 20317075 21833156 22470460 27291445 28088075 33320003 40634150 54449761 54582890 56176150 66640006 81268300 108899522 109165780 112352300 133280012 136457225 166600015 217799044 272248805 272914450 333200030 544497610 545828900 666400060 833000075 1088995220 1361244025 1666000150 2232440201 2722488050 3332000300 4464880402 5444976100 8929760804 11162201005 22324402010 44648804020 55811005025 111622010050 223244020100