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2214216 = 23351767
BaseRepresentation
bin1000011100100101001000
311011111100000
420130211020
51031323331
6115243000
724551304
oct10344510
94144300
102214216
111282634
128a9460
135c6ab4
14418d04
152db0e6
hex21c948

2214216 has 96 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 684288.

The previous prime is 2214209. The next prime is 2214221. The reversal of 2214216 is 6124122.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33015 + ... + 33081.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

22214216 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 2214216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2214216 is an abundant number, since it is smaller than the sum of its proper divisors (4468824).

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

2214216 is a wasteful number, since it uses less digits than its factorization.

2214216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

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

The square root of 2214216 is about 1488.0241933517. The cubic root of 2214216 is about 130.3386829538.

Adding to 2214216 its reverse (6124122), we get a palindrome (8338338).

The spelling of 2214216 in words is "two million, two hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 67 68 72 81 102 108 134 136 153 162 201 204 216 243 268 306 324 402 408 459 486 536 603 612 648 804 918 972 1139 1206 1224 1377 1608 1809 1836 1944 2278 2412 2754 3417 3618 3672 4131 4556 4824 5427 5508 6834 7236 8262 9112 10251 10854 11016 13668 14472 16281 16524 20502 21708 27336 30753 32562 33048 41004 43416 61506 65124 82008 92259 123012 130248 184518 246024 276777 369036 553554 738072 1107108 2214216