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223003120000 = 275413720347
BaseRepresentation
bin1100111110110000000…
…1011001000110000000
3210022121110201020220211
43033230001121012000
512123202244320000
6250240214443504
722053140146543
oct3175401310600
9708543636824
10223003120000
11866364a1781
1237277363594
131804bc3149b
14ab1718285a
155c02b9d7ba
hex33ec059180

223003120000 has 160 divisors (see below), whose sum is σ = 559232019720. Its totient is φ = 88545792000.

The previous prime is 223003119949. The next prime is 223003120003. The reversal of 223003120000 is 21300322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223003120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10949827 + ... + 10970173.

Almost surely, 2223003120000 is an apocalyptic number.

223003120000 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 223003120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279616009860).

223003120000 is an abundant number, since it is smaller than the sum of its proper divisors (336228899720).

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

223003120000 is an equidigital number, since it uses as much as digits as its factorization.

223003120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20518 (or 20491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 223003120000 its reverse (21300322), we get a palindrome (223024420322).

The spelling of 223003120000 in words is "two hundred twenty-three billion, three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 137 160 200 250 274 320 400 500 548 625 640 685 800 1000 1096 1250 1370 1600 2000 2192 2500 2740 3200 3425 4000 4384 5000 5480 6850 8000 8768 10000 10960 13700 16000 17125 17536 20000 20347 21920 27400 34250 40000 40694 43840 54800 68500 80000 81388 85625 87680 101735 109600 137000 162776 171250 203470 219200 274000 325552 342500 406940 438400 508675 548000 651104 685000 813880 1017350 1096000 1302208 1370000 1627760 2034700 2192000 2543375 2604416 2740000 2787539 3255520 4069400 5086750 5480000 5575078 6511040 8138800 10173500 10960000 11150156 12716875 13022080 13937695 16277600 20347000 22300312 25433750 27875390 32555200 40694000 44600624 50867500 55750780 65110400 69688475 81388000 89201248 101735000 111501560 139376950 162776000 178402496 203470000 223003120 278753900 325552000 348442375 356804992 406940000 446006240 557507800 696884750 813880000 892012480 1115015600 1393769500 1627760000 1742211875 1784024960 2230031200 2787539000 3484423750 4460062400 5575078000 6968847500 8920124800 11150156000 13937695000 22300312000 27875390000 44600624000 55750780000 111501560000 223003120000