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2216902656000 = 217353233753
BaseRepresentation
bin100000010000101001101…
…100100000000000000000
321211221012202110102111210
4200100221230200000000
5242310204034443000
64414233033410120
7316110625442364
oct40205154400000
97757182412453
102216902656000
1178520183367a
122b9798269940
1313108c653036
14794277512a4
153ca002eb350
hex20429b20000

2216902656000 has 1152 divisors, whose sum is σ = 8055851521536. Its totient is φ = 539806924800.

The previous prime is 2216902655879. The next prime is 2216902656011. The reversal of 2216902656000 is 6562096122.

It is a self number, because there is not a number n which added to its sum of digits gives 2216902656000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41828351974 + ... + 41828352026.

It is an arithmetic number, because the mean of its divisors is an integer number (6992926668).

Almost surely, 22216902656000 is an apocalyptic number.

2216902656000 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 2216902656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027925760768).

2216902656000 is an abundant number, since it is smaller than the sum of its proper divisors (5838948865536).

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

2216902656000 is an frugal number, since it uses more digits than its factorization.

2216902656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 2216902656000 in words is "two trillion, two hundred sixteen billion, nine hundred two million, six hundred fifty-six thousand".