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2234430400 = 265219312371
BaseRepresentation
bin1000010100101110…
…1011001111000000
312202201110211021111
42011023223033000
514034003233100
61005415333104
7106241226226
oct20513531700
95681424244
102234430400
11a473066a4
12524381194
13297bc8087
14172a80b16
15d126d6ba
hex852eb3c0

2234430400 has 168 divisors, whose sum is σ = 5976680960. Its totient is φ = 819072000.

The previous prime is 2234430383. The next prime is 2234430403. The reversal of 2234430400 is 40344322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234430403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941215 + ... + 943585.

Almost surely, 22234430400 is an apocalyptic number.

2234430400 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 2234430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988340480).

2234430400 is an abundant number, since it is smaller than the sum of its proper divisors (3742250560).

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

2234430400 is a wasteful number, since it uses less digits than its factorization.

2234430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2234430400 is about 47269.7620049012. The cubic root of 2234430400 is about 1307.3411876763.

Adding to 2234430400 its reverse (40344322), we get a palindrome (2274774722).

The spelling of 2234430400 in words is "two billion, two hundred thirty-four million, four hundred thirty thousand, four hundred".