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1800304900 = 225242432
BaseRepresentation
bin110101101001110…
…0111100100000100
311122110120222001021
41223103213210010
512141334224100
6454350440524
762420224222
oct15323474404
94573528037
101800304900
11844252799
12422b03144
13228c98a94
14131155b12
15a80b8a1a
hex6b4e7904

1800304900 has 27 divisors (see below), whose sum is σ = 3907582581. Its totient is φ = 719952240.

The previous prime is 1800304889. The next prime is 1800304907. The reversal of 1800304900 is 94030081.

The square root of 1800304900 is 42430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 648109764 + 1152195136 = 25458^2 + 33944^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1800304907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 422179 + ... + 426421.

Almost surely, 21800304900 is an apocalyptic number.

1800304900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1800304900 is the 42430-th square number.

It is an amenable number.

1800304900 is an abundant number, since it is smaller than the sum of its proper divisors (2107277681).

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

1800304900 is an frugal number, since it uses more digits than its factorization.

1800304900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 1800304900 is about 1216.5090790662.

Multiplying 1800304900 by its sum of digits (25), we get a square (45007622500 = 2121502).

1800304900 divided by its sum of digits (25) gives a square (72012196 = 84862).

Adding to 1800304900 its reverse (94030081), we get a palindrome (1894334981).

The spelling of 1800304900 in words is "one billion, eight hundred million, three hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4243 8486 16972 21215 42430 84860 106075 212150 424300 18003049 36006098 72012196 90015245 180030490 360060980 450076225 900152450 1800304900