Search a number
-
+
2321220000 = 25354113517
BaseRepresentation
bin1000101001011011…
…0000000110100000
312222202210012020010
42022112300012200
514223213020000
61022155444520
7111344021151
oct21226600640
95882705203
102321220000
11a912a4a40
12549456740
132acb94978
141803d3928
15d8bb3d50
hex8a5b01a0

2321220000 has 240 divisors, whose sum is σ = 8308615392. Its totient is φ = 562560000.

The previous prime is 2321219993. The next prime is 2321220079. The reversal of 2321220000 is 221232.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 658242 + ... + 661758.

Almost surely, 22321220000 is an apocalyptic number.

2321220000 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 2321220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154307696).

2321220000 is an abundant number, since it is smaller than the sum of its proper divisors (5987395392).

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

2321220000 is a wasteful number, since it uses less digits than its factorization.

2321220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2321220000 is about 48179.0410863479. The cubic root of 2321220000 is about 1324.0531980584.

Adding to 2321220000 its reverse (221232), we get a palindrome (2321441232).

The spelling of 2321220000 in words is "two billion, three hundred twenty-one million, two hundred twenty thousand".