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219341668 = 227134712821
BaseRepresentation
bin11010001001011…
…10001101100100
3120021201201012111
431010232031210
5422122413133
633433130404
75302242040
oct1504561544
9507651174
10219341668
111028a3707
1261559a04
1336599b90
14211b9020
15143ca1cd
hexd12e364

219341668 has 48 divisors (see below), whose sum is σ = 482517504. Its totient is φ = 84919680.

The previous prime is 219341663. The next prime is 219341669. The reversal of 219341668 is 866143912.

It is a super-2 number, since 2×2193416682 = 96221534642044448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 219341668.

It is not an unprimeable number, because it can be changed into a prime (219341663) 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, 10698 + ... + 23518.

It is an arithmetic number, because the mean of its divisors is an integer number (10052448).

Almost surely, 2219341668 is an apocalyptic number.

219341668 is a gapful number since it is divisible by the number (28) 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 219341668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241258752).

219341668 is an abundant number, since it is smaller than the sum of its proper divisors (263175836).

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

219341668 is a wasteful number, since it uses less digits than its factorization.

219341668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892 (or 12890 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 219341668 is about 14810.1879799009. The cubic root of 219341668 is about 603.0783166387.

The spelling of 219341668 in words is "two hundred nineteen million, three hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 2444 4277 8554 12821 17108 25642 51284 89747 166673 179494 333346 358988 602587 666692 1166711 1205174 2333422 2410348 4218109 4666844 7833631 8436218 15667262 16872436 31334524 54835417 109670834 219341668