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20522664 = 23321491913
BaseRepresentation
bin100111001001…
…0011010101000
31102121122210200
41032102122220
520223211124
62011512200
7336303561
oct116223250
942548720
1020522664
1110647a88
126a58660
1343372b6
142a23168
151c05bc9
hex13926a8

20522664 has 48 divisors (see below), whose sum is σ = 55984500. Its totient is φ = 6791424.

The previous prime is 20522659. The next prime is 20522669. The reversal of 20522664 is 46622502.

It is an interprime number because it is at equal distance from previous prime (20522659) and next prime (20522669).

It can be written as a sum of positive squares in 2 ways, for example, as 20520900 + 1764 = 4530^2 + 42^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20522669) 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, 9772 + ... + 11684.

Almost surely, 220522664 is an apocalyptic number.

20522664 is a gapful number since it is divisible by the number (24) 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 20522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27992250).

20522664 is an abundant number, since it is smaller than the sum of its proper divisors (35461836).

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

20522664 is a wasteful number, since it uses less digits than its factorization.

20522664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20522664 is about 4530.1946978027. The cubic root of 20522664 is about 273.7860051472.

The spelling of 20522664 in words is "twenty million, five hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 1913 2682 3576 3826 5364 5739 7652 10728 11478 15304 17217 22956 34434 45912 68868 137736 285037 570074 855111 1140148 1710222 2280296 2565333 3420444 5130666 6840888 10261332 20522664