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22201141431320 = 2351729103179227269
BaseRepresentation
bin1010000110001000110110…
…01001100000110000011000
32220121102000201101202112022
411003010123021200300120
510402220414201300240
6115115021422034012
74450656660336035
oct503043311406030
986542021352468
1022201141431320
11708a4a6612295
1225a6891418908
13c50735493107
1456a78063438c
152877816049b5
hex14311b260c18

22201141431320 has 512 divisors, whose sum is σ = 56006795520000. Its totient is φ = 7882453254144.

The previous prime is 22201141431317. The next prime is 22201141431323. The reversal of 22201141431320 is 2313414110222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22201141431317) and next prime (22201141431323).

It is a self number, because there is not a number n which added to its sum of digits gives 22201141431320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201141431323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82532124146 + ... + 82532124414.

It is an arithmetic number, because the mean of its divisors is an integer number (109388272500).

Almost surely, 222201141431320 is an apocalyptic number.

22201141431320 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 22201141431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28003397760000).

22201141431320 is an abundant number, since it is smaller than the sum of its proper divisors (33805654088680).

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

22201141431320 is a wasteful number, since it uses less digits than its factorization.

22201141431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22201141431320 its reverse (2313414110222), we get a palindrome (24514555541542).

The spelling of 22201141431320 in words is "twenty-two trillion, two hundred one billion, one hundred forty-one million, four hundred thirty-one thousand, three hundred twenty".