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22001010332000 = 255371021769589
BaseRepresentation
bin1010000000010100000100…
…11001111101000101100000
32212220021110020102112120112
411000022002121331011200
510340431032121111000
6114443042530030452
74430343355142210
oct500120231750540
985807406375515
1022001010332000
117012637849247
122573b39a18428
13c378bcc61c9b
14560bd6d88240
1528246b8d6235
hex14028267d160

22001010332000 has 192 divisors, whose sum is σ = 61839425531520. Its totient is φ = 7535805696000.

The previous prime is 22001010331997. The next prime is 22001010332003. The reversal of 22001010332000 is 23301010022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22001010331997) and next prime (22001010332003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001010332003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28203206 + ... + 28972794.

It is an arithmetic number, because the mean of its divisors is an integer number (322080341310).

Almost surely, 222001010332000 is an apocalyptic number.

22001010332000 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 22001010332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30919712765760).

22001010332000 is an abundant number, since it is smaller than the sum of its proper divisors (39838415199520).

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

22001010332000 is a wasteful number, since it uses less digits than its factorization.

22001010332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770642 (or 770624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22001010332000 its reverse (23301010022), we get a palindrome (22024311342022).

The spelling of 22001010332000 in words is "twenty-two trillion, one billion, ten million, three hundred thirty-two thousand".