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214803372 = 223713918397
BaseRepresentation
bin11001100110110…
…10001110101100
3112222012010211110
430303122032230
5414442201442
633151552020
75215540620
oct1463321654
9488163743
10214803372
11100283a53
125bb2b610
133566b2b4
1420757180
1513cd069c
hexccda3ac

214803372 has 48 divisors (see below), whose sum is σ = 576961280. Its totient is φ = 60927552.

The previous prime is 214803367. The next prime is 214803373. The reversal of 214803372 is 273308412.

It is a super-3 number, since 3×2148033723 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (214803373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2478 + ... + 20874.

Almost surely, 2214803372 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 214803372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288480640).

214803372 is an abundant number, since it is smaller than the sum of its proper divisors (362157908).

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

214803372 is a wasteful number, since it uses less digits than its factorization.

214803372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18550 (or 18548 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 214803372 is about 14656.1718057616. The cubic root of 214803372 is about 598.8899587249.

The spelling of 214803372 in words is "two hundred fourteen million, eight hundred three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 5838 11676 18397 36794 55191 73588 110382 128779 220764 257558 386337 515116 772674 1545348 2557183 5114366 7671549 10228732 15343098 17900281 30686196 35800562 53700843 71601124 107401686 214803372