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202020213400 = 23524133244399
BaseRepresentation
bin1011110000100101010…
…1111101001010011000
3201022110010200011021221
42330021111331022120
511302214133312100
6232450134141424
720411151323665
oct2741125751230
9638403604257
10202020213400
1178749164455
12331a01b1874
1316086a22b15
149ac651ca6c
1553c59cb01a
hex2f0957d298

202020213400 has 48 divisors (see below), whose sum is σ = 469812564000. Its totient is φ = 80788202880.

The previous prime is 202020213347. The next prime is 202020213407. The reversal of 202020213400 is 4312020202.

202020213400 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 not an unprimeable number, because it can be changed into a prime (202020213407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 704401 + ... + 948799.

It is an arithmetic number, because the mean of its divisors is an integer number (9787761750).

Almost surely, 2202020213400 is an apocalyptic number.

202020213400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020213400 is an abundant number, since it is smaller than the sum of its proper divisors (267792350600).

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

202020213400 is a wasteful number, since it uses less digits than its factorization.

202020213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248548 (or 248539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202020213400 its reverse (4312020202), we get a palindrome (206332233602).

The spelling of 202020213400 in words is "two hundred two billion, twenty million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4133 8266 16532 20665 33064 41330 82660 103325 165320 206650 244399 413300 488798 826600 977596 1221995 1955192 2443990 4887980 6109975 9775960 12219950 24439900 48879800 1010101067 2020202134 4040404268 5050505335 8080808536 10101010670 20202021340 25252526675 40404042680 50505053350 101010106700 202020213400