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66100230 = 23257239439
BaseRepresentation
bin1111110000100…
…1110000000110
311121101020110200
43330021300012
5113410201410
610320431330
71431562020
oct374116006
9147336420
1066100230
1134348099
121a178546
1310904781
148ac9010
155c0a3c0
hex3f09c06

66100230 has 96 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 15011136.

The previous prime is 66100207. The next prime is 66100261. The reversal of 66100230 is 3200166.

It is a happy number.

66100230 is a `hidden beast` number, since 661 + 0 + 0 + 2 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 150351 + ... + 150789.

It is an arithmetic number, because the mean of its divisors is an integer number (2059200).

Almost surely, 266100230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66100230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98841600).

66100230 is an abundant number, since it is smaller than the sum of its proper divisors (131582970).

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

66100230 is a wasteful number, since it uses less digits than its factorization.

66100230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66100230 is about 8130.2047944686. The cubic root of 66100230 is about 404.3284710608.

Adding to 66100230 its reverse (3200166), we get a palindrome (69300396).

The spelling of 66100230 in words is "sixty-six million, one hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 239 315 439 478 630 717 878 1195 1317 1434 1673 2151 2195 2390 2634 3073 3346 3585 3951 4302 4390 5019 6146 6585 7170 7902 8365 9219 10038 10755 13170 15057 15365 16730 18438 19755 21510 25095 27657 30114 30730 39510 46095 50190 55314 75285 92190 104921 138285 150570 209842 276570 314763 524605 629526 734447 944289 1049210 1468894 1573815 1888578 2203341 3147630 3672235 4406682 4721445 6610023 7344470 9442890 11016705 13220046 22033410 33050115 66100230