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220897638 = 23313419751
BaseRepresentation
bin11010010101010…
…10000101100110
3120101122202121000
431022222011212
5423022211023
633530334130
75321412303
oct1512520546
9511582530
10220897638
11103766735
1261b8a346
13369c3180
14214a20aa
15145d6243
hexd2aa166

220897638 has 64 divisors (see below), whose sum is σ = 530611200. Its totient is φ = 67716000.

The previous prime is 220897637. The next prime is 220897639. The reversal of 220897638 is 836798022.

220897638 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 9 + 7 + 638 = 666.

220897638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220897637) and next prime (220897639).

It is a junction number, because it is equal to n+sod(n) for n = 220897593 and 220897602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220897637) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 293763 + ... + 294513.

It is an arithmetic number, because the mean of its divisors is an integer number (8290800).

Almost surely, 2220897638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220897638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265305600).

220897638 is an abundant number, since it is smaller than the sum of its proper divisors (309713562).

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

220897638 is a wasteful number, since it uses less digits than its factorization.

220897638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 220897638 is about 14862.6255419424. The cubic root of 220897638 is about 604.5010005587.

The spelling of 220897638 in words is "two hundred twenty million, eight hundred ninety-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 419 702 751 838 1257 1502 2253 2514 3771 4506 5447 6759 7542 9763 10894 11313 13518 16341 19526 20277 22626 29289 32682 40554 49023 58578 87867 98046 147069 175734 263601 294138 314669 527202 629338 944007 1888014 2832021 4090697 5664042 8181394 8496063 12272091 16992126 24544182 36816273 73632546 110448819 220897638