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22227042816 = 293511109149
BaseRepresentation
bin10100101100110101…
…011100001000000000
32010101001002202200000
4110230311130020000
5331010110332231
614113322400000
71414543514046
oct245465341000
963331082600
1022227042816
11947664a280
124383960000
132132bb7254
14110bda2396
158a152a6e6
hex52cd5c200

22227042816 has 480 divisors, whose sum is σ = 73729656000. Its totient is φ = 6628884480.

The previous prime is 22227042793. The next prime is 22227042833. The reversal of 22227042816 is 61824072222.

22227042816 is a `hidden beast` number, since 2 + 2 + 227 + 0 + 428 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149174710 + ... + 149174858.

It is an arithmetic number, because the mean of its divisors is an integer number (153603450).

Almost surely, 222227042816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22227042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864828000).

22227042816 is an abundant number, since it is smaller than the sum of its proper divisors (51502613184).

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

22227042816 is a wasteful number, since it uses less digits than its factorization.

22227042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 22227042816 in words is "twenty-two billion, two hundred twenty-seven million, forty-two thousand, eight hundred sixteen".