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22206741120 = 273254389659
BaseRepresentation
bin10100101011100111…
…111111101010000000
32010022121220022222100
4110223213333222000
5330434411203440
614111315310400
71414206120324
oct245347775200
963277808870
1022206741120
119466143313
124378bab400
13212b929705
1411093d9984
1589e86a230
hex52b9ffa80

22206741120 has 192 divisors, whose sum is σ = 78466845600. Its totient is φ = 5784016896.

The previous prime is 22206741107. The next prime is 22206741133. The reversal of 22206741120 is 2114760222.

22206741120 is a `hidden beast` number, since 2 + 220 + 6 + 7 + 411 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22206741107) and next prime (22206741133).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202851 + ... + 292509.

Almost surely, 222206741120 is an apocalyptic number.

22206741120 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 22206741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39233422800).

22206741120 is an abundant number, since it is smaller than the sum of its proper divisors (56260104480).

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

22206741120 is a wasteful number, since it uses less digits than its factorization.

22206741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89727 (or 89712 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 22206741120 in words is "twenty-two billion, two hundred six million, seven hundred forty-one thousand, one hundred twenty".