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22242660336 = 243213611091787
BaseRepresentation
bin10100101101110001…
…000000111111110000
32010102010111012212200
4110231301000333300
5331023110112321
614115041223200
71415123331141
oct245561007760
963363435780
1022242660336
119484446a16
124389031b00
1321361c49a0
1411100a9ac8
158a2ab2d26
hex52dc40ff0

22242660336 has 240 divisors, whose sum is σ = 68799450720. Its totient is φ = 6666209280.

The previous prime is 22242660317. The next prime is 22242660367. The reversal of 22242660336 is 63306624222.

22242660336 is a `hidden beast` number, since 2 + 2 + 2 + 42 + 6 + 603 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22242660336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12446035 + ... + 12447821.

It is an arithmetic number, because the mean of its divisors is an integer number (286664378).

Almost surely, 222242660336 is an apocalyptic number.

22242660336 is a gapful number since it is divisible by the number (26) 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 22242660336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34399725360).

22242660336 is an abundant number, since it is smaller than the sum of its proper divisors (46556790384).

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

22242660336 is a wasteful number, since it uses less digits than its factorization.

22242660336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 22242660336 in words is "twenty-two billion, two hundred forty-two million, six hundred sixty thousand, three hundred thirty-six".