Search a number
-
+
66290224 = 24711134139
BaseRepresentation
bin1111110011100…
…0001000110000
311121201220002111
43330320020300
5113432241344
610324455104
71433312650
oct374701060
9147656074
1066290224
1134467910
121a24a494
13109700b0
148b38360
155c46834
hex3f38230

66290224 has 80 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 23834880.

The previous prime is 66290197. The next prime is 66290281. The reversal of 66290224 is 42209266.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13947 + ... + 18085.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 266290224 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 66290224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

66290224 is an abundant number, since it is smaller than the sum of its proper divisors (106198736).

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

66290224 is a wasteful number, since it uses less digits than its factorization.

66290224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 66290224 is about 8141.8808637808. The cubic root of 66290224 is about 404.7154918966.

The spelling of 66290224 in words is "sixty-six million, two hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 4139 8008 8278 16016 16556 28973 33112 45529 53807 57946 66224 91058 107614 115892 182116 215228 231784 318703 364232 376649 430456 463568 591877 637406 728464 753298 860912 1183754 1274812 1506596 2367508 2549624 3013192 4143139 4735016 5099248 6026384 8286278 9470032 16572556 33145112 66290224