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22838070528 = 28347313219
BaseRepresentation
bin10101010001010000…
…010100110100000000
32011221121212012010000
4111101100110310000
5333233021224103
614254111040000
71435643253000
oct252120246400
964847765100
1022838070528
11975a54a459
124514510000
1321cc674400
1411691ba000
158d9ec5aa3
hex551414d00

22838070528 has 1080 divisors, whose sum is σ = 90520584000. Its totient is φ = 5706215424.

The previous prime is 22838070491. The next prime is 22838070557. The reversal of 22838070528 is 82507083822.

22838070528 is a `hidden beast` number, since 2 + 28 + 38 + 0 + 70 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1202003703 + ... + 1202003721.

Almost surely, 222838070528 is an apocalyptic number.

22838070528 is a gapful number since it is divisible by the number (28) 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 22838070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45260292000).

22838070528 is an abundant number, since it is smaller than the sum of its proper divisors (67682513472).

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

22838070528 is an equidigital number, since it uses as much as digits as its factorization.

22838070528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22838070528 in words is "twenty-two billion, eight hundred thirty-eight million, seventy thousand, five hundred twenty-eight".