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422212242304440 = 233357212016643057
BaseRepresentation
bin101111111111111111111001…
…0101110001110110110111000
32001100221002121002220122211000
41133333333302232032312320
5420320011133012220230
64053545343151205000
7154634553650204100
oct13777776256166670
92040832532818730
10422212242304440
1111259122a804195
123b42b689816760
131517859c7c6533
1476392782ca200
1533c2a9909ab60
hex17ffff2b8edb8

422212242304440 has 384 divisors, whose sum is σ = 1638512912923200. Its totient is φ = 96425286451200.

The previous prime is 422212242304427. The next prime is 422212242304469. The reversal of 422212242304440 is 44403242212224.

422212242304440 is a `hidden beast` number, since 4 + 2 + 22 + 122 + 42 + 30 + 4 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 422212242304395 and 422212242304404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60235392 + ... + 66878448.

Almost surely, 2422212242304440 is an apocalyptic number.

422212242304440 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 422212242304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819256456461600).

422212242304440 is an abundant number, since it is smaller than the sum of its proper divisors (1216300670618760).

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

422212242304440 is a wasteful number, since it uses less digits than its factorization.

422212242304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644292 (or 6644275 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 422212242304440 its reverse (44403242212224), we get a palindrome (466615484516664).

The spelling of 422212242304440 in words is "four hundred twenty-two trillion, two hundred twelve billion, two hundred forty-two million, three hundred four thousand, four hundred forty".