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199052856 = 233323103389
BaseRepresentation
bin10111101110101…
…00111000111000
3111212112221012000
423313110320320
5401424142411
631430221000
74634631012
oct1367247070
9455487160
10199052856
11a23a63a2
12567b4760
1332315172
141c6171b2
151271d956
hexbdd4e38

199052856 has 128 divisors (see below), whose sum is σ = 584064000. Its totient is φ = 62688384.

The previous prime is 199052851. The next prime is 199052863. The reversal of 199052856 is 658250991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199052851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511510 + ... + 511898.

It is an arithmetic number, because the mean of its divisors is an integer number (4563000).

Almost surely, 2199052856 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 199052856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292032000).

199052856 is an abundant number, since it is smaller than the sum of its proper divisors (385011144).

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

199052856 is a wasteful number, since it uses less digits than its factorization.

199052856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 199052856 is about 14108.6092865314. The cubic root of 199052856 is about 583.8789312426.

The spelling of 199052856 in words is "one hundred ninety-nine million, fifty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 103 108 138 184 206 207 216 276 309 389 412 414 552 618 621 778 824 828 927 1167 1236 1242 1556 1656 1854 2334 2369 2472 2484 2781 3112 3501 3708 4668 4738 4968 5562 7002 7107 7416 8947 9336 9476 10503 11124 14004 14214 17894 18952 21006 21321 22248 26841 28008 28428 35788 40067 42012 42642 53682 56856 63963 71576 80134 80523 84024 85284 107364 120201 127926 160268 161046 170568 214728 240402 241569 255852 320536 322092 360603 480804 483138 511704 644184 721206 921541 961608 966276 1081809 1442412 1843082 1932552 2163618 2764623 2884824 3686164 4327236 5529246 7372328 8293869 8654472 11058492 16587738 22116984 24881607 33175476 49763214 66350952 99526428 199052856