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200022101000 = 23531948721617
BaseRepresentation
bin1011101001001000111…
…1110000110000001000
3201010021212212112100222
42322102033300300020
511234121124213000
6231515555445212
720310506543261
oct2722217606010
9633255775328
10200022101000
1177913296a97
1232922bb6808
1315b28a899a7
149976dd5968
15530a38ca85
hex2e923f0c08

200022101000 has 128 divisors (see below), whose sum is σ = 493720531200. Its totient is φ = 75638707200.

The previous prime is 200022100979. The next prime is 200022101033. The reversal of 200022101000 is 101220002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 9242192 + ... + 9263808.

It is an arithmetic number, because the mean of its divisors is an integer number (3857191650).

Almost surely, 2200022101000 is an apocalyptic number.

200022101000 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 200022101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246860265600).

200022101000 is an abundant number, since it is smaller than the sum of its proper divisors (293698430200).

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

200022101000 is a wasteful number, since it uses less digits than its factorization.

200022101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22144 (or 22130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 200022101000 its reverse (101220002), we get a palindrome (200123321002).

The spelling of 200022101000 in words is "two hundred billion, twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 487 500 760 950 974 1000 1900 1948 2375 2435 3800 3896 4750 4870 9253 9500 9740 12175 18506 19000 19480 21617 24350 37012 43234 46265 48700 60875 74024 86468 92530 97400 108085 121750 172936 185060 216170 231325 243500 370120 410723 432340 462650 487000 540425 821446 864680 925300 1080850 1156625 1642892 1850600 2053615 2161700 2313250 2702125 3285784 4107230 4323400 4626500 5404250 8214460 9253000 10268075 10527479 10808500 16428920 20536150 21054958 21617000 41072300 42109916 51340375 52637395 82144600 84219832 102680750 105274790 200022101 205361500 210549580 263186975 400044202 410723000 421099160 526373950 800088404 1000110505 1052747900 1315934875 1600176808 2000221010 2105495800 2631869750 4000442020 5000552525 5263739500 8000884040 10001105050 10527479000 20002210100 25002762625 40004420200 50005525250 100011050500 200022101000