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220244346 = 2347359541
BaseRepresentation
bin11010010000010…
…10100101111010
3120100102120110000
431020022211322
5422340304341
633504333430
75313021540
oct1510124572
9510376400
10220244346
1110335a923
1261914276
13368249ca
1421371d90
15145078b6
hexd20a97a

220244346 has 80 divisors (see below), whose sum is σ = 566628480. Its totient is φ = 62635680.

The previous prime is 220244341. The next prime is 220244347. The reversal of 220244346 is 643442022.

220244346 is a `hidden beast` number, since 220 + 2 + 4 + 434 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220244341) 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 39 ways as a sum of consecutive naturals, for example, 406836 + ... + 407376.

It is an arithmetic number, because the mean of its divisors is an integer number (7082856).

Almost surely, 2220244346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220244346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283314240).

220244346 is an abundant number, since it is smaller than the sum of its proper divisors (346384134).

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

220244346 is a wasteful number, since it uses less digits than its factorization.

220244346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 220244346 is about 14840.6315903333. The cubic root of 220244346 is about 603.9044865268.

Adding to 220244346 its reverse (643442022), we get a palindrome (863686368).

The spelling of 220244346 in words is "two hundred twenty million, two hundred forty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 359 378 541 567 718 1077 1082 1134 1623 2154 2513 3231 3246 3787 4869 5026 6462 7539 7574 9693 9738 11361 14607 15078 19386 22617 22722 29079 29214 34083 43821 45234 58158 67851 68166 87642 102249 135702 194219 203553 204498 306747 388438 407106 582657 613494 1165314 1359533 1747971 2719066 3495942 4078599 5243913 8157198 10487826 12235797 15731739 24471594 31463478 36707391 73414782 110122173 220244346