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422244225200 = 245271774311939
BaseRepresentation
bin1100010010011111011…
…01111001000010110000
31111100212221000002110102
412021033231321002300
523404224010201300
6521550515051532
742335414460350
oct6111755710260
91440787002412
10422244225200
11153088947a96
1269a008a0ba8
1330a81c60385
1416618558b60
15aeb46ba0d5
hex624fb790b0

422244225200 has 240 divisors, whose sum is σ = 1229314890240. Its totient is φ = 136058818560.

The previous prime is 422244225181. The next prime is 422244225203. The reversal of 422244225200 is 2522442224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (422244225203) 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, 35360831 + ... + 35372769.

It is an arithmetic number, because the mean of its divisors is an integer number (5122145376).

Almost surely, 2422244225200 is an apocalyptic number.

422244225200 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 422244225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614657445120).

422244225200 is an abundant number, since it is smaller than the sum of its proper divisors (807070665040).

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

422244225200 is a wasteful number, since it uses less digits than its factorization.

422244225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 29.

Adding to 422244225200 its reverse (2522442224), we get a palindrome (424766667424).

The spelling of 422244225200 in words is "four hundred twenty-two billion, two hundred forty-four million, two hundred twenty-five thousand, two hundred".