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22007811312 = 24321761293503
BaseRepresentation
bin10100011111110001…
…001000110011110000
32002210202120122120200
4110133301020303300
5330032444430222
614035451435200
71406242211124
oct243761106360
962722518520
1022007811312
119373921413
124322455b00
1320c9658576
1410cac15584
1588c172eac
hex51fc48cf0

22007811312 has 240 divisors, whose sum is σ = 66641859648. Its totient is φ = 6754590720.

The previous prime is 22007811239. The next prime is 22007811317. The reversal of 22007811312 is 21311870022.

It is a super-2 number, since 2×220078113122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22007811317) by changing a digit.

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, 43752853 + ... + 43753355.

Almost surely, 222007811312 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 22007811312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33320929824).

22007811312 is an abundant number, since it is smaller than the sum of its proper divisors (44634048336).

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

22007811312 is a wasteful number, since it uses less digits than its factorization.

22007811312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 22007811312 in words is "twenty-two billion, seven million, eight hundred eleven thousand, three hundred twelve".