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22340557228000 = 2553113743931259
BaseRepresentation
bin1010001010001100100001…
…11110100100011111100000
32221002201212211211000222111
411011012100332210133200
510412011430122244000
6115303035454245104
74464023556140464
oct505062076443740
987081784730874
1022340557228000
117133639157870
1226098bb4b6794
13c60922cca66b
1457340842c4a4
1528b1e0dc8cba
hex145190fa47e0

22340557228000 has 384 divisors, whose sum is σ = 61641278899200. Its totient is φ = 7886018304000.

The previous prime is 22340557227979. The next prime is 22340557228007. The reversal of 22340557228000 is 82275504322.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22340557228007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714676371 + ... + 714707629.

It is an arithmetic number, because the mean of its divisors is an integer number (160524163800).

Almost surely, 222340557228000 is an apocalyptic number.

22340557228000 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 22340557228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820639449600).

22340557228000 is an abundant number, since it is smaller than the sum of its proper divisors (39300721671200).

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

22340557228000 is a wasteful number, since it uses less digits than its factorization.

22340557228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31771 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 22340557228000 in words is "twenty-two trillion, three hundred forty billion, five hundred fifty-seven million, two hundred twenty-eight thousand".