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224244444420 = 2232519373734751
BaseRepresentation
bin1101000011011000000…
…0101010110100000100
3210102210222111001220100
43100312000222310010
512133223034210140
6251003320404100
722125662220303
oct3206600526404
9712728431810
10224244444420
1187113163127
1237563016630
13181b9164289
14abd3d8c43a
155c76b4d530
hex343602ad04

224244444420 has 288 divisors, whose sum is σ = 737486830080. Its totient is φ = 54960768000.

The previous prime is 224244444349. The next prime is 224244444427. The reversal of 224244444420 is 24444442422.

224244444420 is a `hidden beast` number, since 224 + 2 + 4 + 4 + 4 + 4 + 4 + 420 = 666.

224244444420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224244444427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47197045 + ... + 47201795.

It is an arithmetic number, because the mean of its divisors is an integer number (2560718160).

Almost surely, 2224244444420 is an apocalyptic number.

224244444420 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 224244444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368743415040).

224244444420 is an abundant number, since it is smaller than the sum of its proper divisors (513242385660).

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

224244444420 is a wasteful number, since it uses less digits than its factorization.

224244444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 224244444420 its reverse (24444442422), we get a palindrome (248688886842).

The spelling of 224244444420 in words is "two hundred twenty-four billion, two hundred forty-four million, four hundred forty-four thousand, four hundred twenty".