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21422440 = 2351323169
BaseRepresentation
bin101000110111…
…0000101101000
31111022101001201
41101232011220
520441004230
62043053544
7350042044
oct121560550
944271051
1021422440
1111101aa6
1272112b4
134590a00
142bb9024
151d325ca
hex146e168

21422440 has 48 divisors (see below), whose sum is σ = 52209900. Its totient is φ = 7907328.

The previous prime is 21422419. The next prime is 21422449. The reversal of 21422440 is 4422412.

It can be written as a sum of positive squares in 6 ways, for example, as 4955076 + 16467364 = 2226^2 + 4058^2 .

It is not an unprimeable number, because it can be changed into a prime (21422449) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5176 + ... + 8344.

Almost surely, 221422440 is an apocalyptic number.

21422440 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 21422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26104950).

21422440 is an abundant number, since it is smaller than the sum of its proper divisors (30787460).

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

21422440 is a wasteful number, since it uses less digits than its factorization.

21422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 21422440 is about 4628.4381815036. The cubic root of 21422440 is about 277.7301178084.

Adding to 21422440 its reverse (4422412), we get a palindrome (25844852).

The spelling of 21422440 in words is "twenty-one million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3169 3380 6338 6760 12676 15845 25352 31690 41197 63380 82394 126760 164788 205985 329576 411970 535561 823940 1071122 1647880 2142244 2677805 4284488 5355610 10711220 21422440