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220055130 = 23451072539
BaseRepresentation
bin11010001110111…
…00011001011010
3120100001221220000
431013130121122
5422313231010
633500313430
75311303101
oct1507343132
9510057800
10220055130
11103240749
1261842876
1336789849
1421323038
15144bb7c0
hexd1dc65a

220055130 has 80 divisors (see below), whose sum is σ = 597468960. Its totient is φ = 58110048.

The previous prime is 220055113. The next prime is 220055137. The reversal of 220055130 is 31550022.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220055137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85401 + ... + 87939.

It is an arithmetic number, because the mean of its divisors is an integer number (7468362).

Almost surely, 2220055130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220055130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298734480).

220055130 is an abundant number, since it is smaller than the sum of its proper divisors (377413830).

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

220055130 is a wasteful number, since it uses less digits than its factorization.

220055130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 220055130 is about 14834.2552897003. The cubic root of 220055130 is about 603.7314951313.

The spelling of 220055130 in words is "two hundred twenty million, fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 535 642 810 963 1070 1605 1926 2539 2889 3210 4815 5078 5778 7617 8667 9630 12695 14445 15234 17334 22851 25390 28890 38085 43335 45702 68553 76170 86670 114255 137106 205659 228510 271673 342765 411318 543346 685530 815019 1028295 1358365 1630038 2056590 2445057 2716730 4075095 4890114 7335171 8150190 12225285 14670342 22005513 24450570 36675855 44011026 73351710 110027565 220055130