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2240500500 = 223453721129
BaseRepresentation
bin1000010110001011…
…0101001100010100
312210010220012220000
42011202311030110
514042032004000
61010153411300
7106343640300
oct20542651424
95703805800
102240500500
11a4a782207
12526409b30
13299241c54
141737c0d00
15d1a6c000
hex858b5314

2240500500 has 360 divisors, whose sum is σ = 8510622120. Its totient is φ = 511660800.

The previous prime is 2240500477. The next prime is 2240500517. The reversal of 2240500500 is 50050422.

It can be written as a sum of positive squares in 4 ways, for example, as 437479056 + 1803021444 = 20916^2 + 42462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1983936 + ... + 1985064.

It is an arithmetic number, because the mean of its divisors is an integer number (23640617).

Almost surely, 22240500500 is an apocalyptic number.

2240500500 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 2240500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255311060).

2240500500 is an abundant number, since it is smaller than the sum of its proper divisors (6270121620).

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

2240500500 is a wasteful number, since it uses less digits than its factorization.

2240500500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2240500500 is about 47333.9254657798. The cubic root of 2240500500 is about 1308.5239673355.

Adding to 2240500500 its reverse (50050422), we get a palindrome (2290550922).

The spelling of 2240500500 in words is "two billion, two hundred forty million, five hundred thousand, five hundred".