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203424314200 = 235223199322189
BaseRepresentation
bin1011110101110100001…
…0001011001101011000
3201110001222201212111021
42331131002023031120
511313103111023300
6233241333012224
720461021066222
oct2753502131530
9643058655437
10203424314200
11792a97a4138
1233512484074
131624b8a8cb3
149bbabbb412
155458dd0d1a
hex2f5d08b358

203424314200 has 96 divisors (see below), whose sum is σ = 493794957600. Its totient is φ = 77789352960.

The previous prime is 203424314189. The next prime is 203424314237. The reversal of 203424314200 is 2413424302.

It is a happy number.

203424314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 9156706 + ... + 9178894.

It is an arithmetic number, because the mean of its divisors is an integer number (5143697475).

Almost surely, 2203424314200 is an apocalyptic number.

203424314200 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 203424314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246897478800).

203424314200 is an abundant number, since it is smaller than the sum of its proper divisors (290370643400).

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

203424314200 is a wasteful number, since it uses less digits than its factorization.

203424314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221 (or 24212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 203424314200 its reverse (2413424302), we get a palindrome (205837738502).

The spelling of 203424314200 in words is "two hundred three billion, four hundred twenty-four million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1993 2300 3986 4600 7972 9965 15944 19930 22189 39860 44378 45839 49825 79720 88756 91678 99650 110945 177512 183356 199300 221890 229195 366712 398600 443780 458390 510347 554725 887560 916780 1020694 1109450 1145975 1833560 2041388 2218900 2291950 2551735 4082776 4437800 4583900 5103470 9167800 10206940 12758675 20413880 25517350 44222677 51034700 88445354 102069400 176890708 221113385 353781416 442226770 884453540 1017121571 1105566925 1768907080 2034243142 2211133850 4068486284 4422267700 5085607855 8136972568 8844535400 10171215710 20342431420 25428039275 40684862840 50856078550 101712157100 203424314200