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220042344 = 233194710267
BaseRepresentation
bin11010001110110…
…01010001101000
3120100001022100110
431013121101220
5422312323334
633500134320
75311220604
oct1507312150
9510038313
10220042344
11103232085
12618373a0
1336783a92
142131c504
15144b7ae9
hexd1d9468

220042344 has 64 divisors (see below), whose sum is σ = 591436800. Its totient is φ = 68001984.

The previous prime is 220042321. The next prime is 220042349. The reversal of 220042344 is 443240022.

It is a self number, because there is not a number n which added to its sum of digits gives 220042344.

It is not an unprimeable number, because it can be changed into a prime (220042349) 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 15 ways as a sum of consecutive naturals, for example, 16299 + ... + 26565.

It is an arithmetic number, because the mean of its divisors is an integer number (9241200).

Almost surely, 2220042344 is an apocalyptic number.

220042344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295718400).

220042344 is an abundant number, since it is smaller than the sum of its proper divisors (371394456).

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

220042344 is a wasteful number, since it uses less digits than its factorization.

220042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 220042344 is about 14833.8243214621. The cubic root of 220042344 is about 603.7198019094.

Adding to 220042344 its reverse (443240022), we get a palindrome (663282366).

It can be divided in two parts, 2200 and 42344, that added together give a palindrome (44544).

The spelling of 220042344 in words is "two hundred twenty million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2679 3572 5358 7144 10267 10716 20534 21432 30801 41068 61602 82136 123204 195073 246408 390146 482549 585219 780292 965098 1170438 1447647 1560584 1930196 2340876 2895294 3860392 4681752 5790588 9168431 11581176 18336862 27505293 36673724 55010586 73347448 110021172 220042344