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222130021300 = 2252112157116929
BaseRepresentation
bin1100111011011111111…
…0110010001110110100
3210020100121211020122221
43032313332302032310
512114410241140200
6250013425132124
722022406012355
oct3166776621664
9706317736587
10222130021300
1186228673800
1237072a8a044
1317c40096535
14aa73229d2c
155ba11d791a
hex33b7fb23b4

222130021300 has 108 divisors (see below), whose sum is σ = 533205243340. Its totient is φ = 80259379200.

The previous prime is 222130021247. The next prime is 222130021319. The reversal of 222130021300 is 3120031222.

It can be written as a sum of positive squares in 6 ways, for example, as 5134295716 + 216995725584 = 71654^2 + 465828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1841236 + ... + 1958164.

Almost surely, 2222130021300 is an apocalyptic number.

222130021300 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 222130021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266602621670).

222130021300 is an abundant number, since it is smaller than the sum of its proper divisors (311075222040).

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

222130021300 is a wasteful number, since it uses less digits than its factorization.

222130021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117122 (or 117104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 222130021300 its reverse (3120031222), we get a palindrome (225250052522).

The spelling of 222130021300 in words is "two hundred twenty-two billion, one hundred thirty million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 157 220 242 275 314 484 550 605 628 785 1100 1210 1570 1727 2420 3025 3140 3454 3925 6050 6908 7850 8635 12100 15700 17270 18997 34540 37994 43175 75988 86350 94985 116929 172700 189970 233858 379940 467716 474925 584645 949850 1169290 1286219 1899700 2338580 2572438 2923225 5144876 5846450 6431095 11692900 12862190 14148409 18357853 25724380 28296818 32155475 36715706 56593636 64310950 70742045 73431412 91789265 128621900 141484090 183578530 201936383 282968180 353710225 367157060 403872766 458946325 707420450 807745532 917892650 1009681915 1414840900 1835785300 2019363830 2221300213 4038727660 4442600426 5048409575 8885200852 10096819150 11106501065 20193638300 22213002130 44426004260 55532505325 111065010650 222130021300