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22031680 = 265112569
BaseRepresentation
bin101010000001…
…0110101000000
31112110022210011
41110002311000
521120003210
62104114304
7355160206
oct124026500
945408704
1022031680
1111488800
127465994
1347450c8
142cd7076
151e02d8a
hex1502d40

22031680 has 84 divisors (see below), whose sum is σ = 57767220. Its totient is φ = 7997440.

The previous prime is 22031671. The next prime is 22031689. The reversal of 22031680 is 8613022.

It is an interprime number because it is at equal distance from previous prime (22031671) and next prime (22031689).

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 16386304 = 2376^2 + 4048^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22031689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38436 + ... + 39004.

It is an arithmetic number, because the mean of its divisors is an integer number (687705).

Almost surely, 222031680 is an apocalyptic number.

22031680 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 22031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28883610).

22031680 is an abundant number, since it is smaller than the sum of its proper divisors (35735540).

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

22031680 is a wasteful number, since it uses less digits than its factorization.

22031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22031680 is about 4693.7916442893. The cubic root of 22031680 is about 280.3383664460.

It can be divided in two parts, 2203 and 1680, that added together give a palindrome (3883).

The spelling of 22031680 in words is "twenty-two million, thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 569 605 704 880 968 1138 1210 1760 1936 2276 2420 2845 3520 3872 4552 4840 5690 6259 7744 9104 9680 11380 12518 18208 19360 22760 25036 31295 36416 38720 45520 50072 62590 68849 91040 100144 125180 137698 182080 200288 250360 275396 344245 400576 500720 550792 688490 1001440 1101584 1376980 2002880 2203168 2753960 4406336 5507920 11015840 22031680