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2214324 = 2233729101
BaseRepresentation
bin1000011100100110110100
311011111111000
420130212310
51031324244
6115243300
724551520
oct10344664
94144430
102214324
111282722
128a9530
135c6b68
14418d80
152db169
hex21c9b4

2214324 has 96 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 604800.

The previous prime is 2214319. The next prime is 2214343. The reversal of 2214324 is 4234122.

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 a junction number, because it is equal to n+sod(n) for n = 2214297 and 2214306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21874 + ... + 21974.

It is an arithmetic number, because the mean of its divisors is an integer number (71400).

22214324 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 2214324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2214324 is an abundant number, since it is smaller than the sum of its proper divisors (4640076).

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

2214324 is a wasteful number, since it uses less digits than its factorization.

2214324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2214324 is about 1488.0604826418. The cubic root of 2214324 is about 130.3408020407.

Adding to 2214324 its reverse (4234122), we get a palindrome (6448446).

The spelling of 2214324 in words is "two million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 101 108 116 126 174 189 202 203 252 261 303 348 378 404 406 522 606 609 707 756 783 812 909 1044 1212 1218 1414 1566 1818 1827 2121 2436 2727 2828 2929 3132 3636 3654 4242 5454 5481 5858 6363 7308 8484 8787 10908 10962 11716 12726 17574 19089 20503 21924 25452 26361 35148 38178 41006 52722 61509 76356 79083 82012 105444 123018 158166 184527 246036 316332 369054 553581 738108 1107162 2214324