Search a number
-
+
994224000 = 27353711269
BaseRepresentation
bin111011010000101…
…010011110000000
32120021210210221010
4323100222132000
54014010132000
6242353400520
733431523150
oct7320523600
92507723833
10994224000
11470239230
12238b69140
1312ac97133
1496086760
155c43ed50
hex3b42a780

994224000 has 512 divisors, whose sum is σ = 4124390400. Its totient is φ = 205824000.

The previous prime is 994223999. The next prime is 994224019. The reversal of 994224000 is 422499.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3695866 + ... + 3696134.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2994224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

994224000 is an abundant number, since it is smaller than the sum of its proper divisors (3130166400).

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

994224000 is a wasteful number, since it uses less digits than its factorization.

994224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 994224000 is about 31531.3177650412. The cubic root of 994224000 is about 998.0709478172.

Adding to 994224000 its reverse (422499), we get a palindrome (994646499).

The spelling of 994224000 in words is "nine hundred ninety-four million, two hundred twenty-four thousand".