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214223042000 = 24531122394349
BaseRepresentation
bin1100011110000010110…
…0000011010111010000
3202110221120110002011202
43013200230003113100
512002212044321000
6242225051130332
721322434545522
oct3074054032720
9673846402152
10214223042000
1182940360170
1235626a439a8
131727cbc2266
14a523057a12
15588be63dd5
hex31e0b035d0

214223042000 has 160 divisors (see below), whose sum is σ = 565463808000. Its totient is φ = 77846592000.

The previous prime is 214223041997. The next prime is 214223042023. The reversal of 214223042000 is 240322412.

214223042000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 49255826 + ... + 49260174.

It is an arithmetic number, because the mean of its divisors is an integer number (3534148800).

Almost surely, 2214223042000 is an apocalyptic number.

214223042000 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 214223042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282731904000).

214223042000 is an abundant number, since it is smaller than the sum of its proper divisors (351240766000).

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

214223042000 is a wasteful number, since it uses less digits than its factorization.

214223042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6606 counting only the distinct ones).

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

Adding to 214223042000 its reverse (240322412), we get a palindrome (214463364412).

The spelling of 214223042000 in words is "two hundred fourteen billion, two hundred twenty-three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2239 2750 4349 4400 4478 5500 8698 8956 11000 11195 17396 17912 21745 22000 22390 24629 34792 35824 43490 44780 47839 49258 55975 69584 86980 89560 95678 98516 108725 111950 123145 173960 179120 191356 197032 217450 223900 239195 246290 279875 347920 382712 394064 434900 447800 478390 492580 543625 559750 615725 765424 869800 895600 956780 985160 1087250 1119500 1195975 1231450 1739600 1913560 1970320 2174500 2239000 2391950 2462900 3078625 3827120 4349000 4478000 4783900 4925800 5979875 6157250 8698000 9567800 9737411 9851600 11959750 12314500 19135600 19474822 23919500 24629000 38949644 47839000 48687055 49258000 77899288 95678000 97374110 107111521 155798576 194748220 214223042 243435275 389496440 428446084 486870550 535557605 778992880 856892168 973741100 1071115210 1217176375 1713784336 1947482200 2142230420 2434352750 2677788025 3894964400 4284460840 4868705500 5355576050 8568921680 9737411000 10711152100 13388940125 19474822000 21422304200 26777880250 42844608400 53555760500 107111521000 214223042000