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200021300 = 225231113571
BaseRepresentation
bin10111110110000…
…01010100110100
3111221101010122022
423323001110310
5402201140200
631503052312
74646103323
oct1373012464
9457333568
10200021300
11a29a7a66
1256ba1098
1332593bcb
141c7ca0ba
1512860885
hexbec1534

200021300 has 72 divisors (see below), whose sum is σ = 452804352. Its totient is φ = 76608000.

The previous prime is 200021293. The next prime is 200021333. The reversal of 200021300 is 3120002.

200021300 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350015 + ... + 350585.

Almost surely, 2200021300 is an apocalyptic number.

200021300 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 200021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

200021300 is an abundant number, since it is smaller than the sum of its proper divisors (252783052).

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

200021300 is a wasteful number, since it uses less digits than its factorization.

200021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 200021300 is about 14142.8886724035. Note that the first 3 decimals coincide. The cubic root of 200021300 is about 584.8243074316.

Adding to 200021300 its reverse (3120002), we get a palindrome (203141302).

The spelling of 200021300 in words is "two hundred million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 113 124 155 226 310 452 565 571 620 775 1130 1142 1550 2260 2284 2825 2855 3100 3503 5650 5710 7006 11300 11420 14012 14275 17515 17701 28550 35030 35402 57100 64523 70060 70804 87575 88505 129046 175150 177010 258092 322615 350300 354020 442525 645230 885050 1290460 1613075 1770100 2000213 3226150 4000426 6452300 8000852 10001065 20002130 40004260 50005325 100010650 200021300