Search a number
-
+
197414200 = 235217311873
BaseRepresentation
bin10111100010001…
…00110100111000
3111202110200101001
423301010310320
5401014223300
631331134344
74614664414
oct1361046470
9452420331
10197414200
11a1487235
12561443b4
1331b90349
141c30bd44
15124e816a
hexbc44d38

197414200 has 96 divisors (see below), whose sum is σ = 501932160. Its totient is φ = 71884800.

The previous prime is 197414197. The next prime is 197414233. The reversal of 197414200 is 2414791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104464 + ... + 106336.

It is an arithmetic number, because the mean of its divisors is an integer number (5228460).

Almost surely, 2197414200 is an apocalyptic number.

197414200 is a gapful number since it is divisible by the number (10) 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 197414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250966080).

197414200 is an abundant number, since it is smaller than the sum of its proper divisors (304517960).

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

197414200 is a wasteful number, since it uses less digits than its factorization.

197414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 197414200 is about 14050.4163639374. The cubic root of 197414200 is about 582.2722989018.

Adding to 197414200 its reverse (2414791), we get a palindrome (199828991).

The spelling of 197414200 in words is "one hundred ninety-seven million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1240 1550 1700 1873 2108 2635 3100 3400 3746 4216 5270 6200 7492 9365 10540 13175 14984 18730 21080 26350 31841 37460 46825 52700 58063 63682 74920 93650 105400 116126 127364 159205 187300 232252 254728 290315 318410 374600 464504 580630 636820 796025 987071 1161260 1273640 1451575 1592050 1974142 2322520 2903150 3184100 3948284 4935355 5806300 6368200 7896568 9870710 11612600 19741420 24676775 39482840 49353550 98707100 197414200