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22420202343000 = 23353711853711369
BaseRepresentation
bin1010001100100000111000…
…01100100100101001011000
32221101100110110011002021120
411012100130030210221120
510414313033244434000
6115403410533405240
74502543341351110
oct506203414445130
987340413132246
1022420202343000
117164399802560
122621228499820
13c682a6758947
14577201dc8040
1528d3031466a0
hex14641c324a58

22420202343000 has 512 divisors, whose sum is σ = 87229563033600. Its totient is φ = 4657787904000.

The previous prime is 22420202342999. The next prime is 22420202343029. The reversal of 22420202343000 is 34320202422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1972041316 + ... + 1972052684.

It is an arithmetic number, because the mean of its divisors is an integer number (170370240300).

Almost surely, 222420202343000 is an apocalyptic number.

22420202343000 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 22420202343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43614781516800).

22420202343000 is an abundant number, since it is smaller than the sum of its proper divisors (64809360690600).

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

22420202343000 is a wasteful number, since it uses less digits than its factorization.

22420202343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22420202343000 its reverse (34320202422), we get a palindrome (22454522545422).

The spelling of 22420202343000 in words is "twenty-two trillion, four hundred twenty billion, two hundred two million, three hundred forty-three thousand".