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219041368 = 23721353811
BaseRepresentation
bin11010000111001…
…00111001011000
3120021011110021021
431003210321120
5422033310433
633422452224
75266551400
oct1503447130
9507143237
10219041368
11102709027
1261434074
13364c32a0
142113b800
151436b22d
hexd0e4e58

219041368 has 96 divisors (see below), whose sum is σ = 524860560. Its totient is φ = 84913920.

The previous prime is 219041363. The next prime is 219041401. The reversal of 219041368 is 863140912.

It is a super-2 number, since 2×2190413682 = 95958241790622848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219041363) 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 23 ways as a sum of consecutive naturals, for example, 269683 + ... + 270493.

Almost surely, 2219041368 is an apocalyptic number.

219041368 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 219041368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262430280).

219041368 is an abundant number, since it is smaller than the sum of its proper divisors (305819192).

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

219041368 is a wasteful number, since it uses less digits than its factorization.

219041368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 219041368 is about 14800.0462161441. The cubic root of 219041368 is about 602.8029667202.

The spelling of 219041368 in words is "two hundred nineteen million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 182 196 212 364 371 392 424 637 689 728 742 811 1274 1378 1484 1622 2548 2597 2756 2968 3244 4823 5096 5194 5512 5677 6488 9646 10388 10543 11354 19292 20776 21086 22708 33761 38584 39739 42172 42983 45416 67522 73801 79478 84344 85966 135044 147602 158956 171932 270088 295204 300881 317912 343864 516607 558779 590408 601762 1033214 1117558 1203524 2066428 2106167 2235116 2407048 3911453 4132856 4212334 4470232 7822906 8424668 15645812 16849336 27380171 31291624 54760342 109520684 219041368