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220442607 = 33711106033
BaseRepresentation
bin11010010001110…
…10111111101111
3120100210122102000
431020322333233
5422413130412
633512503343
75314505550
oct1510727757
9510718360
10220442607
11103485880
12619aab53
1336894018
14213c4327
15145464dc
hexd23afef

220442607 has 32 divisors (see below), whose sum is σ = 407170560. Its totient is φ = 114514560.

The previous prime is 220442591. The next prime is 220442647. The reversal of 220442607 is 706244022.

It is a happy number.

It is not a de Polignac number, because 220442607 - 24 = 220442591 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220442647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50938 + ... + 55095.

It is an arithmetic number, because the mean of its divisors is an integer number (12724080).

Almost surely, 2220442607 is an apocalyptic number.

220442607 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

220442607 is a deficient number, since it is larger than the sum of its proper divisors (186727953).

220442607 is a wasteful number, since it uses less digits than its factorization.

220442607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106060 (or 106054 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 220442607 is about 14847.3097563161. The cubic root of 220442607 is about 604.0856410807.

Adding to 220442607 its reverse (706244022), we get a palindrome (926686629).

The spelling of 220442607 in words is "two hundred twenty million, four hundred forty-two thousand, six hundred seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 106033 318099 742231 954297 1166363 2226693 2862891 3499089 6680079 8164541 10497267 20040237 24493623 31491801 73480869 220442607