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2031004200 = 233525957373
BaseRepresentation
bin111100100001110…
…1010101000101000
312020112200200222210
41321003222220220
513124414113300
6533311245120
7101221152021
oct17103525050
95215620883
102031004200
119524a3575
124882197a0
13264a11444
14153a49c48
15bd489050
hex790eaa28

2031004200 has 96 divisors (see below), whose sum is σ = 6402938400. Its totient is φ = 532412160.

The previous prime is 2031004181. The next prime is 2031004201. The reversal of 2031004200 is 24001302.

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

It is not an unprimeable number, because it can be changed into a prime (2031004201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6714 + ... + 64086.

It is an arithmetic number, because the mean of its divisors is an integer number (66697275).

Almost surely, 22031004200 is an apocalyptic number.

2031004200 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 2031004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201469200).

2031004200 is an abundant number, since it is smaller than the sum of its proper divisors (4371934200).

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

2031004200 is a wasteful number, since it uses less digits than its factorization.

2031004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57451 (or 57442 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2031004200 is about 45066.6639546350. The cubic root of 2031004200 is about 1266.3981686978.

Adding to 2031004200 its reverse (24001302), we get a palindrome (2055005502).

The spelling of 2031004200 in words is "two billion, thirty-one million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 57373 114746 172119 229492 286865 344238 458984 573730 688476 860595 1147460 1376952 1434325 1721190 2294920 2868650 3385007 3442380 4302975 5737300 6770014 6884760 8605950 10155021 11474600 13540028 16925035 17211900 20310042 27080056 33850070 34423800 40620084 50775105 67700140 81240168 84625175 101550210 135400280 169250350 203100420 253875525 338500700 406200840 507751050 677001400 1015502100 2031004200