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20200023000 = 233453249383
BaseRepresentation
bin10010110100000000…
…111110001111011000
31221010202220111020000
4102310000332033120
5312332201214000
613140232333000
71313401235223
oct226400761730
957122814200
1020200023000
118626428293
123ab8b44160
131b9bc6c541
14d98ab25ba
157d35cc000
hex4b403e3d8

20200023000 has 160 divisors (see below), whose sum is σ = 70610585760. Its totient is φ = 5386651200.

The previous prime is 20200022917. The next prime is 20200023013. The reversal of 20200023000 is 32000202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43692 + ... + 205691.

It is an arithmetic number, because the mean of its divisors is an integer number (441316161).

Almost surely, 220200023000 is an apocalyptic number.

20200023000 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 20200023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35305292880).

20200023000 is an abundant number, since it is smaller than the sum of its proper divisors (50410562760).

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

20200023000 is a wasteful number, since it uses less digits than its factorization.

20200023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249416 (or 249393 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 20200023000 its reverse (32000202), we get a palindrome (20232023202).

The spelling of 20200023000 in words is "twenty billion, two hundred million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 249383 498766 748149 997532 1246915 1496298 1995064 2244447 2493830 2992596 3740745 4488894 4987660 5985192 6234575 6733341 7481490 8977788 9975320 11222235 12469150 13466682 14962980 17955576 18703725 20200023 22444470 24938300 26933364 29925960 31172875 33666705 37407450 40400046 44888940 49876600 53866728 56111175 62345750 67333410 74814900 80800092 89777880 93518625 101000115 112222350 124691500 134666820 149629800 161600184 168333525 187037250 202000230 224444700 249383000 269333640 280555875 336667050 374074500 404000460 448889400 505000575 561111750 673334100 748149000 808000920 841667625 1010001150 1122223500 1346668200 1683335250 2020002300 2244447000 2525002875 3366670500 4040004600 5050005750 6733341000 10100011500 20200023000