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2862250000 = 24561072
BaseRepresentation
bin1010101010011010…
…0111100000010000
321101110211100212021
42222212213200100
521330214000000
61152003541224
7130633503121
oct25246474020
97343740767
102862250000
111239735875
1267a68a814
13367cb436c
141d21ca048
1511b43411a
hexaa9a7810

2862250000 has 105 divisors (see below), whose sum is σ = 6997312777. Its totient is φ = 1134200000.

The previous prime is 2862249997. The next prime is 2862250007. The reversal of 2862250000 is 522682.

The square root of 2862250000 is 53500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2507605776 + 354644224 = 50076^2 + 18832^2 .

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 (2862250007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26749947 + ... + 26750053.

Almost surely, 22862250000 is an apocalyptic number.

2862250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2862250000 is the 53500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2862250000

2862250000 is an abundant number, since it is smaller than the sum of its proper divisors (4135062777).

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

2862250000 is an frugal number, since it uses more digits than its factorization.

2862250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 2862250000 is about 1419.8283863226.

Multiplying 2862250000 by its sum of digits (25), we get a square (71556250000 = 2675002).

2862250000 divided by its sum of digits (25) gives a square (114490000 = 107002).

Adding to 2862250000 its reverse (522682), we get a palindrome (2862772682).

The spelling of 2862250000 in words is "two billion, eight hundred sixty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1070 1250 1712 2000 2140 2500 2675 3125 4280 5000 5350 6250 8560 10000 10700 11449 12500 13375 15625 21400 22898 25000 26750 31250 42800 45796 50000 53500 57245 62500 66875 91592 107000 114490 125000 133750 183184 214000 228980 250000 267500 286225 334375 457960 535000 572450 668750 915920 1070000 1144900 1337500 1431125 1671875 2289800 2675000 2862250 3343750 4579600 5350000 5724500 6687500 7155625 11449000 13375000 14311250 22898000 26750000 28622500 35778125 57245000 71556250 114490000 143112500 178890625 286225000 357781250 572450000 715562500 1431125000 2862250000