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22000210011220 = 225721717926172819
BaseRepresentation
bin1010000000010010100101…
…01100111110010001010100
32212220012101110111000212011
411000021102230332101110
510340422412230324340
6114442431300234004
74430314466421400
oct500112254762124
985805343430764
1022000210011220
117012267009411
12257395599b904
13c377c31c90ac
14560b5c978100
152824214e90ea
hex140252b3e454

22000210011220 has 288 divisors, whose sum is σ = 57264820905600. Its totient is φ = 7054366040064.

The previous prime is 22000210011211. The next prime is 22000210011223. The reversal of 22000210011220 is 2211001200022.

It is a happy number.

It is a super-3 number, since 3×220002100112203 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22000210011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000210011223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7804258971 + ... + 7804261789.

It is an arithmetic number, because the mean of its divisors is an integer number (198836183700).

Almost surely, 222000210011220 is an apocalyptic number.

22000210011220 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 22000210011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28632410452800).

22000210011220 is an abundant number, since it is smaller than the sum of its proper divisors (35264610894380).

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

22000210011220 is a wasteful number, since it uses less digits than its factorization.

22000210011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22000210011220 its reverse (2211001200022), we get a palindrome (24211211211242).

The spelling of 22000210011220 in words is "twenty-two trillion, two hundred ten million, eleven thousand, two hundred twenty".