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20200211400 = 23352199169181
BaseRepresentation
bin10010110100000001…
…101100001111001000
31221010210021001122210
4102310001230033020
5312332223231100
613140240345120
71313402651415
oct226401541710
957123231583
1020200211400
118626546896
123ab90151a0
131b9c007215
14d98b2110c
157d3617c50
hex4b406c3c8

20200211400 has 96 divisors (see below), whose sum is σ = 62935704000. Its totient is φ = 5359622400.

The previous prime is 20200211387. The next prime is 20200211453. The reversal of 20200211400 is 411200202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 34810 + ... + 203990.

It is an arithmetic number, because the mean of its divisors is an integer number (655580250).

Almost surely, 220200211400 is an apocalyptic number.

20200211400 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 20200211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31467852000).

20200211400 is an abundant number, since it is smaller than the sum of its proper divisors (42735492600).

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

20200211400 is a wasteful number, since it uses less digits than its factorization.

20200211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169399 (or 169390 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20200211400 its reverse (411200202), we get a palindrome (20611411602).

The spelling of 20200211400 in words is "twenty billion, two hundred million, two hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 199 200 300 398 597 600 796 995 1194 1592 1990 2388 2985 3980 4776 4975 5970 7960 9950 11940 14925 19900 23880 29850 39800 59700 119400 169181 338362 507543 676724 845905 1015086 1353448 1691810 2030172 2537715 3383620 4060344 4229525 5075430 6767240 8459050 10150860 12688575 16918100 20301720 25377150 33667019 33836200 50754300 67334038 101001057 101508600 134668076 168335095 202002114 269336152 336670190 404004228 505005285 673340380 808008456 841675475 1010010570 1346680760 1683350950 2020021140 2525026425 3366701900 4040042280 5050052850 6733403800 10100105700 20200211400