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199802214 = 23419139467
BaseRepresentation
bin10111110100010…
…11110101100110
3111220222000010000
423322023311212
5402122132324
631454242130
74644201513
oct1372136546
9456860100
10199802214
11a28683a7
1256ab6346
1332518281
141c77030a
151281a9c9
hexbe8bd66

199802214 has 80 divisors (see below), whose sum is σ = 475675200. Its totient is φ = 62507376.

The previous prime is 199802203. The next prime is 199802231. The reversal of 199802214 is 412208991.

199802214 is a modest number, since divided by 2214 gives 1998 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 427609 + ... + 428075.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2199802214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199802214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237837600).

199802214 is an abundant number, since it is smaller than the sum of its proper divisors (275872986).

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

199802214 is a wasteful number, since it uses less digits than its factorization.

199802214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 199802214 is about 14135.1411029392. The cubic root of 199802214 is about 584.6107074693.

The spelling of 199802214 in words is "one hundred ninety-nine million, eight hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 139 162 171 278 342 417 467 513 834 934 1026 1251 1401 1539 2502 2641 2802 3078 3753 4203 5282 7506 7923 8406 8873 11259 12609 15846 17746 22518 23769 25218 26619 37827 47538 53238 64913 71307 75654 79857 129826 142614 159714 194739 213921 239571 389478 427842 479142 584217 718713 1168434 1233347 1437426 1752651 2466694 3505302 3700041 5257953 7400082 10515906 11100123 22200246 33300369 66600738 99901107 199802214