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22271440 = 245278393
BaseRepresentation
bin101010011110…
…1010111010000
31112220111200011
41110331113100
521200141230
62113204304
7360206212
oct124752720
945814604
1022271440
1111631954
127560694
1347ca289
142d5a5b2
151e4de2a
hex153d5d0

22271440 has 20 divisors (see below), whose sum is σ = 51781284. Its totient is φ = 8908544.

The previous prime is 22271407. The next prime is 22271489. The reversal of 22271440 is 4417222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 12082576 = 3192^2 + 3476^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 139117 + ... + 139276.

Almost surely, 222271440 is an apocalyptic number.

22271440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22271440 is an abundant number, since it is smaller than the sum of its proper divisors (29509844).

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

22271440 is a wasteful number, since it uses less digits than its factorization.

22271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278406 (or 278400 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 22271440 is about 4719.2626542713. The cubic root of 22271440 is about 281.3516281288.

Adding to 22271440 its reverse (4417222), we get a palindrome (26688662).

The spelling of 22271440 in words is "twenty-two million, two hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 278393 556786 1113572 1391965 2227144 2783930 4454288 5567860 11135720 22271440