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2212930335616 = 2772111319315971
BaseRepresentation
bin100000001100111100111…
…011010011001110000000
321211112221220211122100121
4200030330323103032000
5242224040131214431
64412334533030024
7315610322331400
oct40147473231600
97745856748317
102212930335616
11783553535570
122b8a69a85314
131308a86a33c0
147916bd64800
153c86b6e2611
hex2033ced3380

2212930335616 has 1536 divisors, whose sum is σ = 6751309824000. Its totient is φ = 707180544000.

The previous prime is 2212930335589. The next prime is 2212930335617. The reversal of 2212930335616 is 6165330392122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212930335617) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31168032861 + ... + 31168032931.

It is an arithmetic number, because the mean of its divisors is an integer number (4395384000).

Almost surely, 22212930335616 is an apocalyptic number.

2212930335616 is a gapful number since it is divisible by the number (26) 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 2212930335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375654912000).

2212930335616 is an abundant number, since it is smaller than the sum of its proper divisors (4538379488384).

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

2212930335616 is a wasteful number, since it uses less digits than its factorization.

2212930335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 2212930335616 in words is "two trillion, two hundred twelve billion, nine hundred thirty million, three hundred thirty-five thousand, six hundred sixteen".