Search a number
-
+
66229380 = 22335722503
BaseRepresentation
bin1111110010100…
…1010010000100
311121121210122000
43330221102010
5113423320010
610323305300
71432640400
oct374512204
9147553560
1066229380
1134426128
121a21b230
131094b4a9
148b20100
155c337c0
hex3f29484

66229380 has 144 divisors (see below), whose sum is σ = 239783040. Its totient is φ = 15132096.

The previous prime is 66229379. The next prime is 66229409. The reversal of 66229380 is 8392266.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25209 + ... + 27711.

It is an arithmetic number, because the mean of its divisors is an integer number (1665160).

Almost surely, 266229380 is an apocalyptic number.

66229380 is a gapful number since it is divisible by the number (60) 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 66229380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119891520).

66229380 is an abundant number, since it is smaller than the sum of its proper divisors (173553660).

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

66229380 is a wasteful number, since it uses less digits than its factorization.

66229380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66229380 is about 8138.1435229418. The cubic root of 66229380 is about 404.5916322707.

The spelling of 66229380 in words is "sixty-six million, two hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2503 2646 2940 3780 4410 5006 5292 6615 7509 8820 10012 12515 13230 15018 17521 22527 25030 26460 30036 35042 37545 45054 50060 52563 67581 70084 75090 87605 90108 105126 112635 122647 135162 150180 157689 175210 210252 225270 245294 262815 270324 315378 337905 350420 367941 450540 473067 490588 525630 613235 630756 675810 735882 788445 946134 1051260 1103823 1226470 1351620 1471764 1576890 1839705 1892268 2207646 2365335 2452940 3153780 3311469 3679410 4415292 4730670 5519115 6622938 7358820 9461340 11038230 13245876 16557345 22076460 33114690 66229380