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42220202024 = 2374111319809
BaseRepresentation
bin100111010100100001…
…010010100000101000
311000222101202111010002
4213110201102200220
51142431332431044
631221245242132
73023153540000
oct472441224050
9130871674102
1042220202024
11169a6226750
128223563348
133c9b038280
1420873c7000
15117189474e
hex9d4852828

42220202024 has 320 divisors, whose sum is σ = 114348024000. Its totient is φ = 14367144960.

The previous prime is 42220201997. The next prime is 42220202047. The reversal of 42220202024 is 42020202224.

It is a junction number, because it is equal to n+sod(n) for n = 42220201987 and 42220202005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52187732 + ... + 52188540.

It is an arithmetic number, because the mean of its divisors is an integer number (357337575).

Almost surely, 242220202024 is an apocalyptic number.

42220202024 is a gapful number since it is divisible by the number (44) 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 42220202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57174012000).

42220202024 is an abundant number, since it is smaller than the sum of its proper divisors (72127821976).

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

42220202024 is a wasteful number, since it uses less digits than its factorization.

42220202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42220202024 its reverse (42020202224), we get a palindrome (84240404248).

The spelling of 42220202024 in words is "forty-two billion, two hundred twenty million, two hundred two thousand, twenty-four".