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22825080 = 23325194771
BaseRepresentation
bin101011100010…
…0100001111000
31120221122010100
41113010201320
521320400310
62133115400
7365003265
oct127044170
946848110
1022825080
111197a903
127788b60
134962285
14306226c
15200cec0
hex15c4878

22825080 has 192 divisors, whose sum is σ = 80870400. Its totient is φ = 5564160.

The previous prime is 22825079. The next prime is 22825097. The reversal of 22825080 is 8052822.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 321445 + ... + 321515.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 222825080 is an apocalyptic number.

22825080 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 22825080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

22825080 is an abundant number, since it is smaller than the sum of its proper divisors (58045320).

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

22825080 is a wasteful number, since it uses less digits than its factorization.

22825080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22825080 is about 4777.5600467184. The cubic root of 22825080 is about 283.6639216993.

The spelling of 22825080 in words is "twenty-two million, eight hundred twenty-five thousand, eighty".