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219317056 = 26737101131
BaseRepresentation
bin11010001001010…
…00001101000000
3120021200110102221
431010220031000
5422121121211
633432420424
75302110220
oct1504501500
9507613387
10219317056
11102887172
1261547714
133658b90a
14211b0080
15143c2c71
hexd128340

219317056 has 112 divisors (see below), whose sum is σ = 519818112. Its totient is φ = 89856000.

The previous prime is 219317027. The next prime is 219317099. The reversal of 219317056 is 650713912.

219317056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674111 + ... + 1674241.

Almost surely, 2219317056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259909056).

219317056 is an abundant number, since it is smaller than the sum of its proper divisors (300501056).

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

219317056 is a wasteful number, since it uses less digits than its factorization.

219317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 219317056 is about 14809.3570420866. The cubic root of 219317056 is about 603.0557589568.

The spelling of 219317056 in words is "two hundred nineteen million, three hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 101 112 131 148 202 224 259 262 296 404 448 518 524 592 707 808 917 1036 1048 1184 1414 1616 1834 2072 2096 2368 2828 3232 3668 3737 4144 4192 4847 5656 6464 7336 7474 8288 8384 9694 11312 13231 14672 14948 16576 19388 22624 26159 26462 29344 29896 33929 38776 45248 52318 52924 58688 59792 67858 77552 92617 104636 105848 119584 135716 155104 185234 209272 211696 239168 271432 310208 370468 418544 423392 489547 542864 740936 837088 846784 979094 1085728 1481872 1674176 1958188 2171456 2963744 3426829 3916376 5927488 6853658 7832752 13707316 15665504 27414632 31331008 54829264 109658528 219317056