Search a number
-
+
424223104200 = 233527197372823
BaseRepresentation
bin1100010110001011010…
…10101101110011001000
31111112222211121120010020
412023011222231303020
523422302103313300
6522515125220440
742435433614030
oct6130552556310
91445884546106
10424223104200
11153a03979085
126a273561720
1331008c20cac
14167652b68c0
15b07d2a98a0
hex62c5aadcc8

424223104200 has 384 divisors, whose sum is σ = 1603759257600. Its totient is φ = 90602219520.

The previous prime is 424223104177. The next prime is 424223104223. The reversal of 424223104200 is 2401322424.

It is an interprime number because it is at equal distance from previous prime (424223104177) and next prime (424223104223).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5788989 + ... + 5861811.

It is an arithmetic number, because the mean of its divisors is an integer number (4176456400).

Almost surely, 2424223104200 is an apocalyptic number.

424223104200 is a gapful number since it is divisible by the number (40) 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 424223104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801879628800).

424223104200 is an abundant number, since it is smaller than the sum of its proper divisors (1179536153400).

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

424223104200 is a wasteful number, since it uses less digits than its factorization.

424223104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72941 (or 72932 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 424223104200 its reverse (2401322424), we get a palindrome (426624426624).

The spelling of 424223104200 in words is "four hundred twenty-four billion, two hundred twenty-three million, one hundred four thousand, two hundred".