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220214016 = 2832118689
BaseRepresentation
bin11010010000000…
…11001100000000
3120100101000211200
431020003030000
5422333322031
633503541200
75312534241
oct1510031400
9510330750
10220214016
1110333a060
12618ba800
1336813c69
1421364cc8
15144ed8e6
hexd203300

220214016 has 108 divisors (see below), whose sum is σ = 692732040. Its totient is φ = 66723840.

The previous prime is 220213999. The next prime is 220214041. The reversal of 220214016 is 610412022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220214016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21000 + ... + 29688.

Almost surely, 2220214016 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 220214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346366020).

220214016 is an abundant number, since it is smaller than the sum of its proper divisors (472518024).

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

220214016 is a wasteful number, since it uses less digits than its factorization.

220214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220214016 is about 14839.6096983715. The cubic root of 220214016 is about 603.8767638872.

Adding to 220214016 its reverse (610412022), we get a palindrome (830626038).

The spelling of 220214016 in words is "two hundred twenty million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 8689 12672 17378 25344 26067 34756 52134 69512 78201 95579 104268 139024 156402 191158 208536 278048 286737 312804 382316 417072 556096 573474 625608 764632 834144 860211 1112192 1146948 1251216 1529264 1668288 1720422 2224384 2293896 2502432 3058528 3336576 3440844 4587792 5004864 6117056 6673152 6881688 9175584 10009728 12234112 13763376 18351168 20019456 24468224 27526752 36702336 55053504 73404672 110107008 220214016