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22322130330000 = 2435417431017881
BaseRepresentation
bin1010001001101010001101…
…01001100010000110010000
32221000222022122100121222210
411010311012221202012100
510411211210331030000
6115250351202032120
74462502125115004
oct504650651420620
987028278317883
1022322130330000
1171268426a8646
122606218348640
13c5bc774cb717
1457257b038704
1528a9b32e7350
hex144d46a62190

22322130330000 has 400 divisors, whose sum is σ = 78072005411136. Its totient is φ = 5472122880000.

The previous prime is 22322130329987. The next prime is 22322130330109. The reversal of 22322130330000 is 3303122322.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×223221303300003 (a number of 41 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 21421060 + ... + 22438940.

Almost surely, 222322130330000 is an apocalyptic number.

22322130330000 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 22322130330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39036002705568).

22322130330000 is an abundant number, since it is smaller than the sum of its proper divisors (55749875081136).

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

22322130330000 is a wasteful number, since it uses less digits than its factorization.

22322130330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017972 (or 1017951 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22322130330000 its reverse (3303122322), we get a palindrome (22325433452322).

The spelling of 22322130330000 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred thirty million, three hundred thirty thousand".