Search a number
-
+
2000523000 = 233537231439
BaseRepresentation
bin111011100111101…
…1000111011111000
312011102100002122110
41313033120323320
513044113214000
6530302052320
7100401110400
oct16717307370
95142302573
102000523000
119372745a3
12479b7a0a0
1325b5cb428
1414d993800
15ba967850
hex773d8ef8

2000523000 has 384 divisors, whose sum is σ = 7511961600. Its totient is φ = 441504000.

The previous prime is 2000522941. The next prime is 2000523017. The reversal of 2000523000 is 3250002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4556781 + ... + 4557219.

It is an arithmetic number, because the mean of its divisors is an integer number (19562400).

Almost surely, 22000523000 is an apocalyptic number.

2000523000 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 2000523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755980800).

2000523000 is an abundant number, since it is smaller than the sum of its proper divisors (5511438600).

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

2000523000 is a wasteful number, since it uses less digits than its factorization.

2000523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2000523000 is about 44727.2064855385. The cubic root of 2000523000 is about 1260.0308634415.

Adding to 2000523000 its reverse (3250002), we get a palindrome (2003773002).

The spelling of 2000523000 in words is "two billion, five hundred twenty-three thousand".