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22342221200000 = 2755134296581
BaseRepresentation
bin1010001010001111101000…
…01010000111101010000000
32221002220011210212120110002
411011013310022013222000
510412023332111400000
6115303512535055132
74464113032520012
oct505076412075200
987086153776402
1022342221200000
117134312452639
12260a0a48114a8
13c60b29971290
145735254161b2
1528b28c0128d5
hex1451f4287a80

22342221200000 has 192 divisors, whose sum is σ = 59913343972440. Its totient is φ = 8249433600000.

The previous prime is 22342221199967. The next prime is 22342221200003. The reversal of 22342221200000 is 212224322.

It can be written as a sum of positive squares in 12 ways, for example, as 20952444283456 + 1389776916544 = 4577384^2 + 1178888^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22342221200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3051710 + ... + 7348290.

Almost surely, 222342221200000 is an apocalyptic number.

22342221200000 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 22342221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29956671986220).

22342221200000 is an abundant number, since it is smaller than the sum of its proper divisors (37571122772440).

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

22342221200000 is an frugal number, since it uses more digits than its factorization.

22342221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296633 (or 4296601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22342221200000 its reverse (212224322), we get a palindrome (22342433424322).

The spelling of 22342221200000 in words is "twenty-two trillion, three hundred forty-two billion, two hundred twenty-one million, two hundred thousand".