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90522168 = 233111033329
BaseRepresentation
bin1010110010101…
…00001000111000
320022100000001220
411121110020320
5141133202133
612552112040
72146266012
oct531241070
9208300056
1090522168
1147108710
1226395620
13159a5819
14c0451b2
157e315b3
hex5654238

90522168 has 64 divisors (see below), whose sum is σ = 249350400. Its totient is φ = 27156480.

The previous prime is 90522163. The next prime is 90522169. The reversal of 90522168 is 86122509.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90522163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25528 + ... + 28856.

It is an arithmetic number, because the mean of its divisors is an integer number (3896100).

Almost surely, 290522168 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 90522168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124675200).

90522168 is an abundant number, since it is smaller than the sum of its proper divisors (158828232).

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

90522168 is a wasteful number, since it uses less digits than its factorization.

90522168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 90522168 is about 9514.3138480923. The cubic root of 90522168 is about 449.0054876703.

The spelling of 90522168 in words is "ninety million, five hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3329 3399 4532 6658 6798 9064 9987 13316 13596 19974 26632 27192 36619 39948 73238 79896 109857 146476 219714 292952 342887 439428 685774 878856 1028661 1371548 2057322 2743096 3771757 4114644 7543514 8229288 11315271 15087028 22630542 30174056 45261084 90522168