Search a number
-
+
66588220 = 22523144757
BaseRepresentation
bin1111111000000…
…0111000111100
311122022000212101
43332000320330
5114021310340
610335114444
71435663516
oct376007074
9148260771
1066588220
1134650796
121a372a24
1310a4591a
148bb4bb6
155ca4c9a
hex3f80e3c

66588220 has 24 divisors (see below), whose sum is σ = 145916064. Its totient is φ = 25477056.

The previous prime is 66588211. The next prime is 66588227. The reversal of 66588220 is 2288566.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 66588220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66588227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71919 + ... + 72838.

It is an arithmetic number, because the mean of its divisors is an integer number (6079836).

Almost surely, 266588220 is an apocalyptic number.

It is an amenable number.

66588220 is an abundant number, since it is smaller than the sum of its proper divisors (79327844).

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

66588220 is a wasteful number, since it uses less digits than its factorization.

66588220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144789 (or 144787 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 66588220 is about 8160.1605376365. The cubic root of 66588220 is about 405.3210277913.

It can be divided in two parts, 6658 and 8220, that added together give a triangular number (14878 = T172).

The spelling of 66588220 in words is "sixty-six million, five hundred eighty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 144757 289514 579028 723785 1447570 2895140 3329411 6658822 13317644 16647055 33294110 66588220