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2206082051712 = 2733721122331151
BaseRepresentation
bin100000000110100100101…
…111001010111010000000
321210220021122120202221000
4200012210233022322000
5242121024001123322
64405243214332000
7315245525020200
oct40064457127200
97726248522830
102206082051712
11780659895500
122b76784ba000
1313005694a4c6
1478abc61c400
153c5ba3963ac
hex201a4bcae80

2206082051712 has 2304 divisors, whose sum is σ = 9026751283200. Its totient is φ = 526901760000.

The previous prime is 2206082051699. The next prime is 2206082051713. The reversal of 2206082051712 is 2171502806022.

It is a happy number.

2206082051712 is a `hidden beast` number, since 2 + 2 + 0 + 60 + 82 + 0 + 517 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2206082051713) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14609814837 + ... + 14609814987.

It is an arithmetic number, because the mean of its divisors is an integer number (3917860800).

Almost surely, 22206082051712 is an apocalyptic number.

2206082051712 is a gapful number since it is divisible by the number (22) 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 2206082051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513375641600).

2206082051712 is an abundant number, since it is smaller than the sum of its proper divisors (6820669231488).

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

2206082051712 is a wasteful number, since it uses less digits than its factorization.

2206082051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 2206082051712 its reverse (2171502806022), we get a palindrome (4377584857734).

The spelling of 2206082051712 in words is "two trillion, two hundred six billion, eighty-two million, fifty-one thousand, seven hundred twelve".