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22442004420 = 223511371675503
BaseRepresentation
bin10100111001101001…
…011100111111000100
32010221000120221112220
4110321221130333010
5331430123120140
614150522012340
71423063614213
oct247151347704
963830527486
1022442004420
119576a210a0
1244239470b0
1321685ac574
14112c75b07a
158b533cbd0
hex539a5cfc4

22442004420 has 192 divisors, whose sum is σ = 70837272576. Its totient is φ = 5260792320.

The previous prime is 22442004407. The next prime is 22442004439. The reversal of 22442004420 is 2440024422.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4075389 + ... + 4080891.

It is an arithmetic number, because the mean of its divisors is an integer number (368944128).

Almost surely, 222442004420 is an apocalyptic number.

22442004420 is a gapful number since it is divisible by the number (20) 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 22442004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35418636288).

22442004420 is an abundant number, since it is smaller than the sum of its proper divisors (48395268156).

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

22442004420 is a wasteful number, since it uses less digits than its factorization.

22442004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22442004420 its reverse (2440024422), we get a palindrome (24882028842).

The spelling of 22442004420 in words is "twenty-two billion, four hundred forty-two million, four thousand, four hundred twenty".