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2234430000 = 243254113761
BaseRepresentation
bin1000010100101110…
…1011001000110000
312202201110210201200
42011023223020300
514034003230000
61005415331200
7106241225115
oct20513531060
95681423650
102234430000
11a47306370
12524380b00
13297bc7b3a
14172a8090c
15d126d500
hex852eb230

2234430000 has 600 divisors, whose sum is σ = 8898414096. Its totient is φ = 518400000.

The previous prime is 2234429983. The next prime is 2234430007. The reversal of 2234430000 is 344322.

2234430000 is a `hidden beast` number, since 2 + 234 + 430 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2234430007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36629970 + ... + 36630030.

Almost surely, 22234430000 is an apocalyptic number.

2234430000 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 2234430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449207048).

2234430000 is an abundant number, since it is smaller than the sum of its proper divisors (6663984096).

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

2234430000 is a wasteful number, since it uses less digits than its factorization.

2234430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2234430000 is about 47269.7577738664. The cubic root of 2234430000 is about 1307.3411096644.

Adding to 2234430000 its reverse (344322), we get a palindrome (2234774322).

It can be divided in two parts, 2234 and 430000, that added together give a palindrome (432234).

The spelling of 2234430000 in words is "two billion, two hundred thirty-four million, four hundred thirty thousand".