Search a number
-
+
2322030000 = 243541729157
BaseRepresentation
bin1000101001100111…
…0101110110110000
312222211022100100010
42022121311312300
514223414430000
61022225054520
7111353633523
oct21231656660
95884270303
102322030000
11a917a8564
12549787440
132b00b9564
14180564bba
15d8cc3d50
hex8a675db0

2322030000 has 400 divisors, whose sum is σ = 8262730080. Its totient is φ = 559104000.

The previous prime is 2322029987. The next prime is 2322030013. The reversal of 2322030000 is 302232.

2322030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2322029987) and next prime (2322030013).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14789922 + ... + 14790078.

Almost surely, 22322030000 is an apocalyptic number.

2322030000 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 2322030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131365040).

2322030000 is an abundant number, since it is smaller than the sum of its proper divisors (5940700080).

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

2322030000 is a wasteful number, since it uses less digits than its factorization.

2322030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2322030000 is about 48187.4464980248. The cubic root of 2322030000 is about 1324.2071915569.

Adding to 2322030000 its reverse (302232), we get a palindrome (2322332232).

The spelling of 2322030000 in words is "two billion, three hundred twenty-two million, thirty thousand".