Search a number
-
+
2421230400 = 263352411367
BaseRepresentation
bin1001000001010001…
…0000101101000000
320020201222020201000
42100110100231000
514424313333100
61040131212000
7114000055521
oct22024205500
96221866630
102421230400
1110327a3266
12576a47000
132c7810114
1418d7c8848
15e286b900
hex90510b40

2421230400 has 336 divisors, whose sum is σ = 9048170880. Its totient is φ = 629452800.

The previous prime is 2421230393. The next prime is 2421230419. The reversal of 2421230400 is 40321242.

2421230400 is a `hidden beast` number, since 24 + 212 + 30 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770517 + ... + 1771883.

It is an arithmetic number, because the mean of its divisors is an integer number (26929080).

Almost surely, 22421230400 is an apocalyptic number.

2421230400 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 2421230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524085440).

2421230400 is an abundant number, since it is smaller than the sum of its proper divisors (6626940480).

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

2421230400 is a wasteful number, since it uses less digits than its factorization.

2421230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2421230400 is about 49205.9996341910. Note that the first 3 decimals coincide. The cubic root of 2421230400 is about 1342.8021853384.

Adding to 2421230400 its reverse (40321242), we get a palindrome (2461551642).

The spelling of 2421230400 in words is "two billion, four hundred twenty-one million, two hundred thirty thousand, four hundred".