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91222272 = 2832172137
BaseRepresentation
bin1010110111111…
…11000100000000
320100122120102200
411123333010000
5141323103042
613015113200
72155243101
oct533770400
9210576380
1091222272
1147546709
1226672800
1315b8c39b
14c1883a8
15801dc4c
hex56ff100

91222272 has 162 divisors, whose sum is σ = 281437338. Its totient is φ = 28409856.

The previous prime is 91222223. The next prime is 91222277. The reversal of 91222272 is 27222219.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 50466816 = 6384^2 + 7104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91222277) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 665788 + ... + 665924.

Almost surely, 291222272 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 91222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140718669).

91222272 is an abundant number, since it is smaller than the sum of its proper divisors (190215066).

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

91222272 is a wasteful number, since it uses less digits than its factorization.

91222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 91222272 is about 9551.0351271472. The cubic root of 91222272 is about 450.1600615791.

The spelling of 91222272 in words is "ninety-one million, two hundred twenty-two thousand, two hundred seventy-two".