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90022680 = 2332511127179
BaseRepresentation
bin1010101110110…
…10001100011000
320021101121220100
411113122030120
5141021211210
612533255400
72142115536
oct527321430
9207347810
1090022680
11468a7410
1226194560
131585c377
14bd55156
157d835c0
hex55da318

90022680 has 192 divisors, whose sum is σ = 323481600. Its totient is φ = 21530880.

The previous prime is 90022679. The next prime is 90022687. The reversal of 90022680 is 8622009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90022687) 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 47 ways as a sum of consecutive naturals, for example, 502831 + ... + 503009.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 290022680 is an apocalyptic number.

90022680 is a gapful number since it is divisible by the number (90) 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 90022680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

90022680 is an abundant number, since it is smaller than the sum of its proper divisors (233458920).

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

90022680 is a wasteful number, since it uses less digits than its factorization.

90022680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90022680 is about 9488.0282461637. The cubic root of 90022680 is about 448.1781152940.

Adding to 90022680 its reverse (8622009), we get a palindrome (98644689).

The spelling of 90022680 in words is "ninety million, twenty-two thousand, six hundred eighty".