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22025421000 = 233253111723569
BaseRepresentation
bin10100100000110100…
…010100000011001000
32002211222201022112100
4110200310110003020
5330102001433000
614041321113400
71406544663252
oct244064240310
962758638470
1022025421000
119382859880
124328328860
1321001b29bb
1410cd2bacd2
1588d9a0a00
hex520d140c8

22025421000 has 768 divisors, whose sum is σ = 89887449600. Its totient is φ = 4798464000.

The previous prime is 22025420951. The next prime is 22025421007. The reversal of 22025421000 is 12452022.

22025421000 is a `hidden beast` number, since 2 + 20 + 2 + 542 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22025421007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38708716 + ... + 38709284.

It is an arithmetic number, because the mean of its divisors is an integer number (117040950).

Almost surely, 222025421000 is an apocalyptic number.

22025421000 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 22025421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44943724800).

22025421000 is an abundant number, since it is smaller than the sum of its proper divisors (67862028600).

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

22025421000 is a wasteful number, since it uses less digits than its factorization.

22025421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 22025421000 its reverse (12452022), we get a palindrome (22037873022).

The spelling of 22025421000 in words is "twenty-two billion, twenty-five million, four hundred twenty-one thousand".