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224242403000 = 23537112264749
BaseRepresentation
bin1101000011010111100…
…0111000011010111000
3210102210211122100121012
43100311320320122320
512133222023344000
6251003204533052
722125635655530
oct3206570703270
9712724570535
10224242403000
1187111a99400
12375623b1188
13181b88cb035
14abd39ba4c0
155c76898735
hex3435e386b8

224242403000 has 192 divisors, whose sum is σ = 659163960000. Its totient is φ = 69893472000.

The previous prime is 224242402999. The next prime is 224242403009. The reversal of 224242403000 is 304242422.

224242403000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224242403009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 714626 + ... + 979374.

It is an arithmetic number, because the mean of its divisors is an integer number (3433145625).

Almost surely, 2224242403000 is an apocalyptic number.

224242403000 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 224242403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329581980000).

224242403000 is an abundant number, since it is smaller than the sum of its proper divisors (434921557000).

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

224242403000 is a wasteful number, since it uses less digits than its factorization.

224242403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264799 (or 264774 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 224242403000 its reverse (304242422), we get a palindrome (224546645422).

The spelling of 224242403000 in words is "two hundred twenty-four billion, two hundred forty-two million, four hundred three thousand".