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4412204420 = 22513295361181
BaseRepresentation
bin1000001101111110…
…01110010110000100
3102101111100012121112
410012333032112010
533014011020140
62005452504152
7214224055511
oct40677162604
912344305545
104412204420
111964635538
12a3177b058
13554147060
142dbdb4308
151ac549c65
hex106fce584

4412204420 has 192 divisors, whose sum is σ = 10748687040. Its totient is φ = 1509580800.

The previous prime is 4412204413. The next prime is 4412204479. The reversal of 4412204420 is 244022144.

It can be written as a sum of positive squares in 32 ways, for example, as 4412147776 + 56644 = 66424^2 + 238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24376730 + ... + 24376910.

It is an arithmetic number, because the mean of its divisors is an integer number (55982745).

Almost surely, 24412204420 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 4412204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374343520).

4412204420 is an abundant number, since it is smaller than the sum of its proper divisors (6336482620).

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

4412204420 is a wasteful number, since it uses less digits than its factorization.

4412204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4412204420 is about 66424.4263806621. The cubic root of 4412204420 is about 1640.1561942253.

Adding to 4412204420 its reverse (244022144), we get a palindrome (4656226564).

The spelling of 4412204420 in words is "four billion, four hundred twelve million, two hundred four thousand, four hundred twenty".