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222830446841400 = 233525910396058369
BaseRepresentation
bin110010101010100111000001…
…101000010000111000111000
31002012222101022222011221201110
4302222213001220100320320
5213201323223342411100
62105530521042320320
764635653125461126
oct6252470150207070
91065871288157643
10222830446841400
1165000953078502
1220baa0499590a0
139744a898aa818
143d050a05ba916
151ab64e8186250
hexcaa9c1a10e38

222830446841400 has 192 divisors, whose sum is σ = 703158655680000. Its totient is φ = 58358077931520.

The previous prime is 222830446841389. The next prime is 222830446841413. The reversal of 222830446841400 is 4148644038222.

It is a self number, because there is not a number n which added to its sum of digits gives 222830446841400.

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, 33751416 + ... + 39809784.

It is an arithmetic number, because the mean of its divisors is an integer number (3662284665000).

Almost surely, 2222830446841400 is an apocalyptic number.

222830446841400 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 222830446841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351579327840000).

222830446841400 is an abundant number, since it is smaller than the sum of its proper divisors (480328208838600).

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

222830446841400 is a wasteful number, since it uses less digits than its factorization.

222830446841400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059486 (or 6059477 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 222830446841400 in words is "two hundred twenty-two trillion, eight hundred thirty billion, four hundred forty-six million, eight hundred forty-one thousand, four hundred".