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199152492 = 223711239371
BaseRepresentation
bin10111101111011…
…01001101101100
3111212201222212020
423313231031230
5401440334432
631432310140
74635524340
oct1367551554
9455658766
10199152492
11a2464240
1256842350
133234b616
141c641620
151273d22c
hexbded36c

199152492 has 96 divisors (see below), whose sum is σ = 604606464. Its totient is φ = 49473600.

The previous prime is 199152427. The next prime is 199152493. The reversal of 199152492 is 294251991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (199152493) 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, 16567 + ... + 25937.

It is an arithmetic number, because the mean of its divisors is an integer number (6297984).

Almost surely, 2199152492 is an apocalyptic number.

199152492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199152492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302303232).

199152492 is an abundant number, since it is smaller than the sum of its proper divisors (405453972).

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

199152492 is a wasteful number, since it uses less digits than its factorization.

199152492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9417 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 199152492 is about 14112.1398802591. The cubic root of 199152492 is about 583.9763352830.

The spelling of 199152492 in words is "one hundred ninety-nine million, one hundred fifty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 9371 10626 18742 21252 28113 37484 56226 65597 103081 112452 131194 196791 206162 215533 262388 309243 393582 412324 431066 618486 646599 721567 787164 862132 1236972 1293198 1443134 1508731 2164701 2370863 2586396 2886268 3017462 4329402 4526193 4741726 6034924 7112589 8658804 9052386 9483452 14225178 16596041 18104772 28450356 33192082 49788123 66384164 99576246 199152492