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200202023000 = 2353743665123
BaseRepresentation
bin1011101001110011111…
…0000111000001011000
3201010202102102111221202
42322130332013001120
511240003204214000
6231545504053332
720315123055230
oct2723476070130
9633672374852
10200202023000
11779a5906061
1232973304248
1315b57134205
149992c6ccc0
15531b07cdd5
hex2e9cf87058

200202023000 has 128 divisors (see below), whose sum is σ = 547849336320. Its totient is φ = 67044297600.

The previous prime is 200202022949. The next prime is 200202023023. The reversal of 200202023000 is 320202002.

200202023000 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31562 + ... + 633561.

It is an arithmetic number, because the mean of its divisors is an integer number (4280072940).

Almost surely, 2200202023000 is an apocalyptic number.

200202023000 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 200202023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273924668160).

200202023000 is an abundant number, since it is smaller than the sum of its proper divisors (347647313320).

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

200202023000 is a wasteful number, since it uses less digits than its factorization.

200202023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665194 (or 665180 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 200202023000 its reverse (320202002), we get a palindrome (200522225002).

The spelling of 200202023000 in words is "two hundred billion, two hundred two million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 430 500 602 700 860 875 1000 1075 1204 1400 1505 1720 1750 2150 2408 3010 3500 4300 5375 6020 7000 7525 8600 10750 12040 15050 21500 30100 37625 43000 60200 75250 150500 301000 665123 1330246 2660492 3325615 4655861 5320984 6651230 9311722 13302460 16628075 18623444 23279305 26604920 28600289 33256150 37246888 46558610 57200578 66512300 83140375 93117220 114401156 116396525 133024600 143001445 166280750 186234440 200202023 228802312 232793050 286002890 332561500 400404046 465586100 572005780 581982625 665123000 715007225 800808092 931172200 1001010115 1144011560 1163965250 1430014450 1601616184 2002020230 2327930500 2860028900 3575036125 4004040460 4655861000 5005050575 5720057800 7150072250 8008080920 10010101150 14300144500 20020202300 25025252875 28600289000 40040404600 50050505750 100101011500 200202023000