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22007206656 = 283317223479
BaseRepresentation
bin10100011111101110…
…110101001100000000
32002210201102221011000
4110133232311030000
5330032321103111
614035430452000
71406234112231
oct243756651400
962721387130
1022007206656
1193735490a6
124322204000
1320c94a6296
1410caad9088
1588c0a3c56
hex51fbb5300

22007206656 has 432 divisors, whose sum is σ = 72288921600. Its totient is φ = 6590251008.

The previous prime is 22007206609. The next prime is 22007206667. The reversal of 22007206656 is 65660270022.

It is a tau number, because it is divible by the number of its divisors (432).

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 22007206656.

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, 45943825 + ... + 45944303.

Almost surely, 222007206656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22007206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36144460800).

22007206656 is an abundant number, since it is smaller than the sum of its proper divisors (50281714944).

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

22007206656 is a wasteful number, since it uses less digits than its factorization.

22007206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 22007206656 its reverse (65660270022), we get a palindrome (87667476678).

The spelling of 22007206656 in words is "twenty-two billion, seven million, two hundred six thousand, six hundred fifty-six".