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4222222444440 = 233257111323724359
BaseRepresentation
bin111101011100010000000…
…100011010011110011000
3112221122021221102112022100
4331130100010122132120
51023134102421210230
612551355012123400
7614021415422640
oct75342004323630
915848257375270
104222222444440
1113886a8551230
12582365906560
13248200081b00
141084dc947520
1574c6a34c660
hex3d71011a798

4222222444440 has 1152 divisors, whose sum is σ = 19026945100800. Its totient is φ = 787936481280.

The previous prime is 4222222444393. The next prime is 4222222444441. The reversal of 4222222444440 is 444442222224.

4222222444440 is a `hidden beast` number, since 422 + 2 + 2 + 224 + 4 + 4 + 4 + 4 + 0 = 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 = 4222222444395 and 4222222444404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222222444441) 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 287 ways as a sum of consecutive naturals, for example, 173320981 + ... + 173345339.

It is an arithmetic number, because the mean of its divisors is an integer number (16516445400).

Almost surely, 24222222444440 is an apocalyptic number.

4222222444440 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 4222222444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513472550400).

4222222444440 is an abundant number, since it is smaller than the sum of its proper divisors (14804722656360).

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

4222222444440 is a wasteful number, since it uses less digits than its factorization.

4222222444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24457 (or 24437 counting only the distinct ones).

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

Adding to 4222222444440 its reverse (444442222224), we get a palindrome (4666664666664).

The spelling of 4222222444440 in words is "four trillion, two hundred twenty-two billion, two hundred twenty-two million, four hundred forty-four thousand, four hundred forty".