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2240500000 = 25564481
BaseRepresentation
bin1000010110001011…
…0101000100100000
312210010220012012111
42011202311010200
514042032000000
61010153405104
7106343635654
oct20542650440
95703805174
102240500000
11a4a7818a2
12526409794
1329924195b
141737c0a64
15d1a6bcba
hex858b5120

2240500000 has 84 divisors (see below), whose sum is σ = 5514890346. Its totient is φ = 896000000.

The previous prime is 2240499977. The next prime is 2240500001. The reversal of 2240500000 is 50422.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 857552656 + 1382947344 = 29284^2 + 37188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240500001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 497760 + ... + 502240.

Almost surely, 22240500000 is an apocalyptic number.

2240500000 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 2240500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757445173).

2240500000 is an abundant number, since it is smaller than the sum of its proper divisors (3274390346).

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

2240500000 is an frugal number, since it uses more digits than its factorization.

2240500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2240500000 is about 47333.9201841555. The cubic root of 2240500000 is about 1308.5238699968.

Adding to 2240500000 its reverse (50422), we get a palindrome (2240550422).

The spelling of 2240500000 in words is "two billion, two hundred forty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 4481 5000 6250 8962 10000 12500 15625 17924 20000 22405 25000 31250 35848 44810 50000 62500 71696 89620 100000 112025 125000 143392 179240 224050 250000 358480 448100 500000 560125 716960 896200 1120250 1792400 2240500 2800625 3584800 4481000 5601250 8962000 11202500 14003125 17924000 22405000 28006250 44810000 56012500 70015625 89620000 112025000 140031250 224050000 280062500 448100000 560125000 1120250000 2240500000