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220064220 = 223254129819
BaseRepresentation
bin11010001110111…
…10100111011100
3120100002102100200
431013132213130
5422314023340
633500423500
75311341435
oct1507364734
9510072320
10220064220
11103247562
1261847b90
1336790a1c
142132648c
15144be330
hexd1de9dc

220064220 has 72 divisors (see below), whose sum is σ = 683832240. Its totient is φ = 57250560.

The previous prime is 220064219. The next prime is 220064227. The reversal of 220064220 is 22460022.

It is a happy number.

220064220 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 642 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220064193 and 220064202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220064227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7530 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (9497670).

Almost surely, 2220064220 is an apocalyptic number.

220064220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220064220 is an abundant number, since it is smaller than the sum of its proper divisors (463768020).

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

220064220 is a wasteful number, since it uses less digits than its factorization.

220064220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29875 (or 29870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220064220 is about 14834.5616719875. The cubic root of 220064220 is about 603.7398079629.

The spelling of 220064220 in words is "two hundred twenty million, sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 29819 59638 89457 119276 149095 178914 268371 298190 357828 447285 536742 596380 894570 1073484 1222579 1341855 1789140 2445158 2683710 3667737 4890316 5367420 6112895 7335474 11003211 12225790 14670948 18338685 22006422 24451580 36677370 44012844 55016055 73354740 110032110 220064220