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216660460 = 225234491049
BaseRepresentation
bin11001110100111…
…11100111101100
3120002200111021111
430322133213230
5420431113320
633255441404
75240404102
oct1472374754
9502614244
10216660460
11101332235
1260686264
1335b6b673
1420abbc72
151404aa5a
hexce9f9ec

216660460 has 48 divisors (see below), whose sum is σ = 476280000. Its totient is φ = 82632704.

The previous prime is 216660413. The next prime is 216660463. The reversal of 216660460 is 64066612.

216660460 is nontrivially palindromic in base 16.

It is not an unprimeable number, because it can be changed into a prime (216660463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206016 + ... + 207064.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2216660460 is an apocalyptic number.

216660460 is a gapful number since it is divisible by the number (20) 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 216660460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238140000).

216660460 is an abundant number, since it is smaller than the sum of its proper divisors (259619540).

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

216660460 is a wasteful number, since it uses less digits than its factorization.

216660460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1528 counting only the distinct ones).

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

The square root of 216660460 is about 14719.3906123861. The cubic root of 216660460 is about 600.6109147978.

It can be divided in two parts, 2166 and 60460, that added together give a palindrome (62626).

The spelling of 216660460 in words is "two hundred sixteen million, six hundred sixty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 449 460 898 1049 1796 2098 2245 4196 4490 5245 8980 10327 10490 20654 20980 24127 41308 48254 51635 96508 103270 120635 206540 241270 471001 482540 942002 1884004 2355005 4710010 9420020 10833023 21666046 43332092 54165115 108330230 216660460