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2216424 = 233779167
BaseRepresentation
bin1000011101000111101000
311011121100210
420131013220
51031411144
6115301120
724560610
oct10350750
94147323
102216424
111284261
128aa7a0
135c7ac2
14419a40
152dbab9
hex21d1e8

2216424 has 64 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 621504.

The previous prime is 2216413. The next prime is 2216437. The reversal of 2216424 is 4246122.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2216424.

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, 13189 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22216424 is an apocalyptic number.

2216424 is a gapful number since it is divisible by the number (24) 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 2216424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2216424 is an abundant number, since it is smaller than the sum of its proper divisors (4234776).

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

2216424 is a wasteful number, since it uses less digits than its factorization.

2216424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2216424 is about 1488.7659319047. The cubic root of 2216424 is about 130.3819928213.

The spelling of 2216424 in words is "two million, two hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 167 168 237 316 334 474 501 553 632 668 948 1002 1106 1169 1336 1659 1896 2004 2212 2338 3318 3507 4008 4424 4676 6636 7014 9352 13193 13272 14028 26386 28056 39579 52772 79158 92351 105544 158316 184702 277053 316632 369404 554106 738808 1108212 2216424