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198955050 = 23527892129
BaseRepresentation
bin10111101101111…
…01000000101010
3111212100222000120
423312331000222
5401413030200
631424144110
74634042610
oct1366750052
9455328016
10198955050
11a2339968
1256768036
13322ac7a8
141c5cd6b0
15126ee9a0
hexbdbd02a

198955050 has 96 divisors (see below), whose sum is σ = 570499200. Its totient is φ = 44943360.

The previous prime is 198955049. The next prime is 198955069. The reversal of 198955050 is 50559891.

It is a happy number.

198955050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1989550502 = 79166223841005000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 198954993 and 198955011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92386 + ... + 94514.

It is an arithmetic number, because the mean of its divisors is an integer number (5942700).

Almost surely, 2198955050 is an apocalyptic number.

198955050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198955050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285249600).

198955050 is an abundant number, since it is smaller than the sum of its proper divisors (371544150).

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

198955050 is a wasteful number, since it uses less digits than its factorization.

198955050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 42.

The square root of 198955050 is about 14105.1426791791. The cubic root of 198955050 is about 583.7832845891.

The spelling of 198955050 in words is "one hundred ninety-eight million, nine hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 89 105 150 175 178 210 267 350 445 525 534 623 890 1050 1246 1335 1869 2129 2225 2670 3115 3738 4258 4450 6230 6387 6675 9345 10645 12774 13350 14903 15575 18690 21290 29806 31150 31935 44709 46725 53225 63870 74515 89418 93450 106450 149030 159675 189481 223545 319350 372575 378962 447090 568443 745150 947405 1117725 1136886 1326367 1894810 2235450 2652734 2842215 3979101 4737025 5684430 6631835 7958202 9474050 13263670 14211075 19895505 28422150 33159175 39791010 66318350 99477525 198955050