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125230200 = 23352375641
BaseRepresentation
bin1110111011011…
…01110001111000
322201122100112120
413131231301320
5224024331300
620232041240
73050303424
oct735556170
9281570476
10125230200
1164764337
1235b33220
131cc38714
14128bbb84
15aeda3a0
hex776dc78

125230200 has 96 divisors (see below), whose sum is σ = 398776560. Its totient is φ = 32486400.

The previous prime is 125230187. The next prime is 125230213. The reversal of 125230200 is 2032521.

It is an interprime number because it is at equal distance from previous prime (125230187) and next prime (125230213).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 125230200.

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 23 ways as a sum of consecutive naturals, for example, 19380 + ... + 25020.

Almost surely, 2125230200 is an apocalyptic number.

125230200 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 125230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199388280).

125230200 is an abundant number, since it is smaller than the sum of its proper divisors (273546360).

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

125230200 is a wasteful number, since it uses less digits than its factorization.

125230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 125230200 is about 11190.6300090746. The cubic root of 125230200 is about 500.3067451097.

Adding to 125230200 its reverse (2032521), we get a palindrome (127262721).

The spelling of 125230200 in words is "one hundred twenty-five million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 5641 7400 11100 11282 16923 22200 22564 28205 33846 45128 56410 67692 84615 112820 135384 141025 169230 208717 225640 282050 338460 417434 423075 564100 626151 676920 834868 846150 1043585 1128200 1252302 1669736 1692300 2087170 2504604 3130755 3384600 4174340 5009208 5217925 6261510 8348680 10435850 12523020 15653775 20871700 25046040 31307550 41743400 62615100 125230200