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221243703000 = 23353657711213
BaseRepresentation
bin1100111000001100100…
…1101111111011011000
3210011001212001121112020
43032003021233323120
512111101341444000
6245345444214440
721661424306115
oct3160311577330
9704055047466
10221243703000
1185913336741
1236a6609a420
1317b2b580438
14a9cb63190c
155b4d4aeba0
hex338326fed8

221243703000 has 128 divisors (see below), whose sum is σ = 690446877120. Its totient is φ = 58984089600.

The previous prime is 221243702971. The next prime is 221243703001. The reversal of 221243703000 is 307342122.

It is a super-2 number, since 2×2212437030002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221243703001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19725394 + ... + 19736606.

Almost surely, 2221243703000 is an apocalyptic number.

221243703000 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 221243703000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345223438560).

221243703000 is an abundant number, since it is smaller than the sum of its proper divisors (469203174120).

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

221243703000 is a wasteful number, since it uses less digits than its factorization.

221243703000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814 (or 17800 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 221243703000 in words is "two hundred twenty-one billion, two hundred forty-three million, seven hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6577 11213 13154 19731 22426 26308 32885 33639 39462 44852 52616 56065 65770 67278 78924 89704 98655 112130 131540 134556 157848 164425 168195 197310 224260 263080 269112 280325 328850 336390 394620 448520 493275 560650 657700 672780 789240 822125 840975 986550 1121300 1315400 1345560 1401625 1644250 1681950 1973100 2242600 2466375 2803250 3288500 3363900 3946200 4204875 4932750 5606500 6577000 6727800 8409750 9865500 11213000 16819500 19731000 33639000 73747901 147495802 221243703 294991604 368739505 442487406 589983208 737479010 884974812 1106218515 1474958020 1769949624 1843697525 2212437030 2949916040 3687395050 4424874060 5531092575 7374790100 8849748120 9218487625 11062185150 14749580200 18436975250 22124370300 27655462875 36873950500 44248740600 55310925750 73747901000 110621851500 221243703000