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22492080 = 243551389
BaseRepresentation
bin101010111001…
…1001110110000
31120022201100000
41111303032300
521224221310
62122030000
7362115402
oct125631660
946281300
1022492080
11117726a6
127648300
134876830
142db6b72
151e944c0
hex15733b0

22492080 has 240 divisors, whose sum is σ = 85307040. Its totient is φ = 5474304.

The previous prime is 22492073. The next prime is 22492097. The reversal of 22492080 is 8029422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 252676 + ... + 252764.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 222492080 is an apocalyptic number.

22492080 is a gapful number since it is divisible by the number (20) 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 22492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

22492080 is an abundant number, since it is smaller than the sum of its proper divisors (62814960).

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

22492080 is a wasteful number, since it uses less digits than its factorization.

22492080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22492080 is about 4742.5815754713. The cubic root of 22492080 is about 282.2776803087.

The spelling of 22492080 in words is "twenty-two million, four hundred ninety-two thousand, eighty".