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219681396 = 223411531163
BaseRepresentation
bin11010001100000…
…01001001110100
3120022100222020000
431012001021310
5422214301041
633444311300
75305155354
oct1506011164
9508328200
10219681396
11103005980
12616a2530
13366886bc
1421266b64
1514445bb6
hexd181274

219681396 has 120 divisors (see below), whose sum is σ = 638868384. Its totient is φ = 65257920.

The previous prime is 219681377. The next prime is 219681419. The reversal of 219681396 is 693186912.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188311 + ... + 189473.

Almost surely, 2219681396 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 219681396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319434192).

219681396 is an abundant number, since it is smaller than the sum of its proper divisors (419186988).

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

219681396 is a wasteful number, since it uses less digits than its factorization.

219681396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 219681396 is about 14821.6529442569. The cubic root of 219681396 is about 603.3895159128.

The spelling of 219681396 in words is "two hundred nineteen million, six hundred eighty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 81 99 106 108 132 159 162 198 212 297 318 324 396 477 583 594 636 891 954 1163 1166 1188 1431 1749 1782 1908 2326 2332 2862 3489 3498 3564 4293 4652 5247 5724 6978 6996 8586 10467 10494 12793 13956 15741 17172 20934 20988 25586 31401 31482 38379 41868 47223 51172 61639 62802 62964 76758 94203 94446 115137 123278 125604 153516 184917 188406 188892 230274 246556 345411 369834 376812 460548 554751 678029 690822 739668 1036233 1109502 1356058 1381644 1664253 2034087 2072466 2219004 2712116 3328506 4068174 4144932 4992759 6102261 6657012 8136348 9985518 12204522 18306783 19971036 24409044 36613566 54920349 73227132 109840698 219681396