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2212704 = 253313197
BaseRepresentation
bin1000011100001101100000
311011102021000
420130031200
51031301304
6115232000
724544014
oct10341540
94142230
102212704
11128148a
128a8600
135c61c0
14418544
152da939
hex21c360

2212704 has 96 divisors (see below), whose sum is σ = 6985440. Its totient is φ = 677376.

The previous prime is 2212699. The next prime is 2212709. The reversal of 2212704 is 4072122.

It is an interprime number because it is at equal distance from previous prime (2212699) and next prime (2212709).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212709) 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, 11134 + ... + 11330.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

22212704 is an apocalyptic number.

2212704 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 2212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720).

2212704 is an abundant number, since it is smaller than the sum of its proper divisors (4772736).

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

2212704 is a wasteful number, since it uses less digits than its factorization.

2212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2212704 is about 1487.5160503336. The cubic root of 2212704 is about 130.3090084981.

Adding to 2212704 its reverse (4072122), we get a palindrome (6284826).

It can be divided in two parts, 2212 and 704, that added together give a square (2916 = 542).

The spelling of 2212704 in words is "two million, two hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 197 208 216 234 288 312 351 394 416 432 468 591 624 702 788 864 936 1182 1248 1404 1576 1773 1872 2364 2561 2808 3152 3546 3744 4728 5122 5319 5616 6304 7092 7683 9456 10244 10638 11232 14184 15366 18912 20488 21276 23049 28368 30732 40976 42552 46098 56736 61464 69147 81952 85104 92196 122928 138294 170208 184392 245856 276588 368784 553176 737568 1106352 2212704