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2515350000 = 2435541409
BaseRepresentation
bin1001010111101101…
…0011000111110000
320111022002000112010
42111323103013300
520122412200000
61053332402520
7116222056632
oct22573230760
96438060463
102515350000
111080938759
125a2476440
133111751a7
1419c0c8a52
15eac5dd50
hex95ed31f0

2515350000 has 240 divisors, whose sum is σ = 8340403680. Its totient is φ = 652800000.

The previous prime is 2515349983. The next prime is 2515350001. The reversal of 2515350000 is 535152.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2515350001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6149796 + ... + 6150204.

It is an arithmetic number, because the mean of its divisors is an integer number (34751682).

Almost surely, 22515350000 is an apocalyptic number.

2515350000 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 2515350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170201840).

2515350000 is an abundant number, since it is smaller than the sum of its proper divisors (5825053680).

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

2515350000 is an equidigital number, since it uses as much as digits as its factorization.

2515350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 2515350000 is about 50153.2650980971. The cubic root of 2515350000 is about 1359.9808965021.

Adding to 2515350000 its reverse (535152), we get a palindrome (2515885152).

The spelling of 2515350000 in words is "two billion, five hundred fifteen million, three hundred fifty thousand".