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2282266464720 = 2435112647121469
BaseRepresentation
bin100001001101100001101…
…011101001000111010000
322002011221001222221120020
4201031201223221013100
5244343040203332340
64504243030543440
7323613455603364
oct41154153510720
98064831887506
102282266464720
117aa9a3a14600
1230a39a507b80
131372a841b328
147c6687292a4
153e5788ba9d0
hex21361ae91d0

2282266464720 has 240 divisors, whose sum is σ = 7788765237120. Its totient is φ = 552417029120.

The previous prime is 2282266464703. The next prime is 2282266464757. The reversal of 2282266464720 is 274646622822.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18728146 + ... + 18849614.

It is an arithmetic number, because the mean of its divisors is an integer number (32453188488).

Almost surely, 22282266464720 is an apocalyptic number.

2282266464720 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 2282266464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894382618560).

2282266464720 is an abundant number, since it is smaller than the sum of its proper divisors (5506498772400).

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

2282266464720 is a wasteful number, since it uses less digits than its factorization.

2282266464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122154 (or 122137 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 2282266464720 in words is "two trillion, two hundred eighty-two billion, two hundred sixty-six million, four hundred sixty-four thousand, seven hundred twenty".