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22730841900 = 2232521319102253
BaseRepresentation
bin10101001010110111…
…010001111100101100
32011200011002102002100
4111022313101330230
5333023043420100
614235320455100
71433201653044
oct251267217454
964604072070
1022730841900
119704a70a58
1244a461a490
1321b339c610
141158c66724
158d0894400
hex54add1f2c

22730841900 has 216 divisors, whose sum is σ = 80768389520. Its totient is φ = 5300743680.

The previous prime is 22730841893. The next prime is 22730841901. The reversal of 22730841900 is 914803722.

22730841900 is a `hidden beast` number, since 227 + 308 + 41 + 90 + 0 = 666.

It is a super-2 number, since 2×227308419002 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22730841901) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 171174 + ... + 273426.

Almost surely, 222730841900 is an apocalyptic number.

22730841900 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 22730841900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40384194760).

22730841900 is an abundant number, since it is smaller than the sum of its proper divisors (58037547620).

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

22730841900 is a wasteful number, since it uses less digits than its factorization.

22730841900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102305 (or 102295 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22730841900 in words is "twenty-two billion, seven hundred thirty million, eight hundred forty-one thousand, nine hundred".