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2214912 = 21037103
BaseRepresentation
bin1000011100110000000000
311011112021210
420130300000
51031334122
6115250120
724553320
oct10346000
94145253
102214912
111283107
128a9940
135c71cb
14419280
152db40c
hex21cc00

2214912 has 88 divisors (see below), whose sum is σ = 6812416. Its totient is φ = 626688.

The previous prime is 2214911. The next prime is 2214929. The reversal of 2214912 is 2194122.

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

It is not an unprimeable number, because it can be changed into a prime (2214911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21453 + ... + 21555.

22214912 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 2214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406208).

2214912 is an abundant number, since it is smaller than the sum of its proper divisors (4597504).

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

2214912 is a wasteful number, since it uses less digits than its factorization.

2214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2214912 is about 1488.2580421419. The cubic root of 2214912 is about 130.3523380835.

The spelling of 2214912 in words is "two million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 256 309 336 384 412 448 512 618 672 721 768 824 896 1024 1236 1344 1442 1536 1648 1792 2163 2472 2688 2884 3072 3296 3584 4326 4944 5376 5768 6592 7168 8652 9888 10752 11536 13184 17304 19776 21504 23072 26368 34608 39552 46144 52736 69216 79104 92288 105472 138432 158208 184576 276864 316416 369152 553728 738304 1107456 2214912