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55589220 = 22335113911
BaseRepresentation
bin1101010000001…
…1100101100100
310212121020002000
43110003211210
5103212323340
65303245300
71243333461
oct324034544
9125536060
1055589220
1129419005
1216749830
13b69443b
147550668
154d30d30
hex3503964

55589220 has 96 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 14676480.

The previous prime is 55589197. The next prime is 55589227. The reversal of 55589220 is 2298555.

55589220 is a `hidden beast` number, since 55 + 589 + 2 + 20 = 666.

It is a super-2 number, since 2×555892202 = 6180322760416800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55589227) 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 31 ways as a sum of consecutive naturals, for example, 60565 + ... + 61475.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 255589220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55589220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

55589220 is an abundant number, since it is smaller than the sum of its proper divisors (119077020).

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

55589220 is a wasteful number, since it uses less digits than its factorization.

55589220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55589220 is about 7455.8178625822. The cubic root of 55589220 is about 381.6484709601.

The spelling of 55589220 in words is "fifty-five million, five hundred eighty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 911 1017 1130 1356 1695 1822 2034 2260 2733 3051 3390 3644 4068 4555 5085 5466 6102 6780 8199 9110 10170 10932 12204 13665 15255 16398 18220 20340 24597 27330 30510 32796 40995 49194 54660 61020 81990 98388 102943 122985 163980 205886 245970 308829 411772 491940 514715 617658 926487 1029430 1235316 1544145 1852974 2058860 2779461 3088290 3705948 4632435 5558922 6176580 9264870 11117844 13897305 18529740 27794610 55589220