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2130223000 = 235319191587
BaseRepresentation
bin111111011111000…
…1001111110011000
312111110101112121011
41332332021332120
513330314114000
6551214023304
7103534411453
oct17676117630
95443345534
102130223000
119a3501084
124b54a7b34
1327c4404a9
14162cb649a
15c70372ba
hex7ef89f98

2130223000 has 128 divisors (see below), whose sum is σ = 5283532800. Its totient is φ = 801648000.

The previous prime is 2130222979. The next prime is 2130223061. The reversal of 2130223000 is 3220312.

It is a happy number.

2130223000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3628707 + ... + 3629293.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 22130223000 is an apocalyptic number.

2130223000 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 2130223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

2130223000 is an abundant number, since it is smaller than the sum of its proper divisors (3153309800).

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

2130223000 is a wasteful number, since it uses less digits than its factorization.

2130223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

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

The square root of 2130223000 is about 46154.3389076260. The cubic root of 2130223000 is about 1286.6932514694.

Adding to 2130223000 its reverse (3220312), we get a palindrome (2133443312).

The spelling of 2130223000 in words is "two billion, one hundred thirty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 191 200 250 380 382 475 500 587 760 764 950 955 1000 1174 1528 1900 1910 2348 2375 2935 3629 3800 3820 4696 4750 4775 5870 7258 7640 9500 9550 11153 11740 14516 14675 18145 19000 19100 22306 23480 23875 29032 29350 36290 38200 44612 47750 55765 58700 72580 73375 89224 90725 95500 111530 112117 117400 145160 146750 181450 191000 223060 224234 278825 293500 362900 446120 448468 453625 557650 560585 587000 725800 896936 907250 1115300 1121170 1394125 1814500 2130223 2230600 2242340 2788250 2802925 3629000 4260446 4484680 5576500 5605850 8520892 10651115 11153000 11211700 14014625 17041784 21302230 22423400 28029250 42604460 53255575 56058500 85208920 106511150 112117000 213022300 266277875 426044600 532555750 1065111500 2130223000