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66230200 = 23521929601
BaseRepresentation
bin1111110010100…
…1011110111000
311121121211202101
43330221132320
5113423331300
610323313144
71432642651
oct374513670
9147554671
1066230200
1134426803
121a21b7b4
131094b98a
148b20528
155c33b6a
hex3f297b8

66230200 has 96 divisors (see below), whose sum is σ = 167958000. Its totient is φ = 24192000.

The previous prime is 66230173. The next prime is 66230209. The reversal of 66230200 is 203266.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66230209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109900 + ... + 110500.

Almost surely, 266230200 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 66230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83979000).

66230200 is an abundant number, since it is smaller than the sum of its proper divisors (101727800).

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

66230200 is a wasteful number, since it uses less digits than its factorization.

66230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 66230200 is about 8138.1939028264. The cubic root of 66230200 is about 404.5933020421.

Adding to 66230200 its reverse (203266), we get a palindrome (66433466).

It can be divided in two parts, 66230 and 200, that added together give a triangular number (66430 = T364).

The spelling of 66230200 in words is "sixty-six million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 145 152 190 200 232 290 380 475 551 580 601 725 760 950 1102 1160 1202 1450 1900 2204 2404 2755 2900 3005 3800 4408 4808 5510 5800 6010 11020 11419 12020 13775 15025 17429 22040 22838 24040 27550 30050 34858 45676 55100 57095 60100 69716 87145 91352 110200 114190 120200 139432 174290 228380 285475 331151 348580 435725 456760 570950 662302 697160 871450 1141900 1324604 1655755 1742900 2283800 2649208 3311510 3485800 6623020 8278775 13246040 16557550 33115100 66230200