Search a number
-
+
2311422400 = 26527474391
BaseRepresentation
bin1000100111000101…
…1000000111000000
312222002100102110001
42021301120013000
514213211004100
61021205445344
7111164523550
oct21161300700
95862312401
102311422400
11a86812951
12546110854
132aab44281
1417cda3160
15d7dcad6a
hex89c581c0

2311422400 has 168 divisors, whose sum is σ = 6639860736. Its totient is φ = 775449600.

The previous prime is 2311422367. The next prime is 2311422419. The reversal of 2311422400 is 42241132.

It is a super-2 number, since 2×23114224002 = 10685347022443520000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 524205 + ... + 528595.

Almost surely, 22311422400 is an apocalyptic number.

2311422400 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 2311422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319930368).

2311422400 is an abundant number, since it is smaller than the sum of its proper divisors (4328438336).

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

2311422400 is a wasteful number, since it uses less digits than its factorization.

2311422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2311422400 is about 48077.2544973192. The cubic root of 2311422400 is about 1322.1876792938.

Adding to 2311422400 its reverse (42241132), we get a palindrome (2353663532).

The spelling of 2311422400 in words is "two billion, three hundred eleven million, four hundred twenty-two thousand, four hundred".