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422282448 = 2432717191297
BaseRepresentation
bin11001001010111…
…000010011010000
31002102121011121200
4121022320103100
51331101014243
6105522551200
713315225110
oct3112702320
91072534550
10422282448
111a7405065
12b9508500
1369643893
1440125040
1527115ad3
hex192b84d0

422282448 has 240 divisors, whose sum is σ = 1506510720. Its totient is φ = 107495424.

The previous prime is 422282423. The next prime is 422282501. The reversal of 422282448 is 844282224.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324936 + ... + 326232.

It is an arithmetic number, because the mean of its divisors is an integer number (6277128).

Almost surely, 2422282448 is an apocalyptic number.

422282448 is a gapful number since it is divisible by the number (48) 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 422282448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753255360).

422282448 is an abundant number, since it is smaller than the sum of its proper divisors (1084228272).

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

422282448 is a wasteful number, since it uses less digits than its factorization.

422282448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1345 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 422282448 is about 20549.5121109967. The cubic root of 422282448 is about 750.2413729771.

The spelling of 422282448 in words is "four hundred twenty-two million, two hundred eighty-two thousand, four hundred forty-eight".