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20201838200 = 23523110132261
BaseRepresentation
bin10010110100000111…
…111001011001111000
31221010220022201012122
4102310013321121320
5312333132310300
613140335300412
71313422535315
oct226407713170
957126281178
1020201838200
118627458055
123ab967a708
131b9c45681b
14d99025d0c
157d3839c85
hex4b41f9678

20201838200 has 96 divisors (see below), whose sum is σ = 48965973120. Its totient is φ = 7742400000.

The previous prime is 20201838187. The next prime is 20201838263. The reversal of 20201838200 is 283810202.

It is a super-2 number, since 2×202018382002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20201838200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610070 + ... + 642330.

It is an arithmetic number, because the mean of its divisors is an integer number (510062220).

Almost surely, 220201838200 is an apocalyptic number.

20201838200 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 20201838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482986560).

20201838200 is an abundant number, since it is smaller than the sum of its proper divisors (28764134920).

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

20201838200 is a wasteful number, since it uses less digits than its factorization.

20201838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32409 (or 32400 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 20201838200 in words is "twenty billion, two hundred one million, eight hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 101 124 155 200 202 248 310 404 505 620 775 808 1010 1240 1550 2020 2525 3100 3131 4040 5050 6200 6262 10100 12524 15655 20200 25048 31310 32261 62620 64522 78275 125240 129044 156550 161305 258088 313100 322610 626200 645220 806525 1000091 1290440 1613050 2000182 3226100 3258361 4000364 5000455 6452200 6516722 8000728 10000910 13033444 16291805 20001820 25002275 26066888 32583610 40003640 50004550 65167220 81459025 100009100 101009191 130334440 162918050 200018200 202018382 325836100 404036764 505045955 651672200 808073528 1010091910 2020183820 2525229775 4040367640 5050459550 10100919100 20201838200