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22906540800 = 2835521113103
BaseRepresentation
bin10101010101010101…
…100001001100000000
32012010101200211200000
4111111111201030000
5333403033301200
614304554400000
71440434245533
oct252525411400
965111624600
1022906540800
119795166160
124533430000
1322108c8870
141174320a1a
158e0eed300
hex555561300

22906540800 has 1296 divisors, whose sum is σ = 100745718528. Its totient is φ = 5076172800.

The previous prime is 22906540763. The next prime is 22906540817. The reversal of 22906540800 is 804560922.

It is a happy number.

22906540800 is a `hidden beast` number, since 22 + 90 + 6 + 540 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×229065408002 (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 a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 222393549 + ... + 222393651.

Almost surely, 222906540800 is an apocalyptic number.

22906540800 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 22906540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50372859264).

22906540800 is an abundant number, since it is smaller than the sum of its proper divisors (77839177728).

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

22906540800 is a wasteful number, since it uses less digits than its factorization.

22906540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22906540800 in words is "twenty-two billion, nine hundred six million, five hundred forty thousand, eight hundred".