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22825440 = 25325112131
BaseRepresentation
bin101011100010…
…0100111100000
31120221122121200
41113010213200
521320403230
62133121200
7365004321
oct127044740
946848550
1022825440
1111980100
127789200
1349624a1
143062448
15200d160
hex15c49e0

22825440 has 216 divisors, whose sum is σ = 86270184. Its totient is φ = 5491200.

The previous prime is 22825423. The next prime is 22825471. The reversal of 22825440 is 4452822.

It is a happy number.

It is a super-2 number, since 2×228254402 = 1042001422387200, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 174175 + ... + 174305.

It is an arithmetic number, because the mean of its divisors is an integer number (399399).

Almost surely, 222825440 is an apocalyptic number.

22825440 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 22825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43135092).

22825440 is an abundant number, since it is smaller than the sum of its proper divisors (63444744).

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

22825440 is a wasteful number, since it uses less digits than its factorization.

22825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 22825440 is about 4777.5977227054. The cubic root of 22825440 is about 283.6654130190.

The spelling of 22825440 in words is "twenty-two million, eight hundred twenty-five thousand, four hundred forty".