Search a number
-
+
20345325000 = 2335571113271
BaseRepresentation
bin10010111100101011…
…010000010111001000
31221111220022121002120
4102330223100113020
5313131400400000
613202502531240
71320114260220
oct227453202710
957456277076
1020345325000
1186a0450890
123b39736b20
131bc30b4c60
14db00d7080
157e122e6a0
hex4bcad05c8

20345325000 has 768 divisors, whose sum is σ = 85674516480. Its totient is φ = 3888000000.

The previous prime is 20345324947. The next prime is 20345325029. The reversal of 20345325000 is 52354302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75074865 + ... + 75075135.

It is an arithmetic number, because the mean of its divisors is an integer number (111555360).

Almost surely, 220345325000 is an apocalyptic number.

20345325000 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 20345325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42837258240).

20345325000 is an abundant number, since it is smaller than the sum of its proper divisors (65329191480).

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

20345325000 is a wasteful number, since it uses less digits than its factorization.

20345325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 20345325000 its reverse (52354302), we get a palindrome (20397679302).

The spelling of 20345325000 in words is "twenty billion, three hundred forty-five million, three hundred twenty-five thousand".