Search a number
-
+
2235030000 = 24354729367
BaseRepresentation
bin1000010100110111…
…1101100111110000
312202202121021202220
42011031331213300
514034131430000
61005440241040
7106246304310
oct20515754760
95682537686
102235030000
11a47686135
12524610180
13298077c78
14172b99440
15d133b1a0
hex8537d9f0

2235030000 has 400 divisors, whose sum is σ = 8553262080. Its totient is φ = 491904000.

The previous prime is 2235029941. The next prime is 2235030043. The reversal of 2235030000 is 305322.

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 (15).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 6089817 + ... + 6090183.

Almost surely, 22235030000 is an apocalyptic number.

2235030000 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 2235030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276631040).

2235030000 is an abundant number, since it is smaller than the sum of its proper divisors (6318232080).

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

2235030000 is a wasteful number, since it uses less digits than its factorization.

2235030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2235030000 is about 47276.1039003850. The cubic root of 2235030000 is about 1307.4581170541.

Adding to 2235030000 its reverse (305322), we get a palindrome (2235335322).

The spelling of 2235030000 in words is "two billion, two hundred thirty-five million, thirty thousand".