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2234064 = 243761109
BaseRepresentation
bin1000100001011011010000
311012111120010
420201123100
51032442224
6115514520
724663210
oct10413320
94174503
102234064
111296538
128b8a40
13602b41
14422240
152e1e29
hex2216d0

2234064 has 80 divisors (see below), whose sum is σ = 6765440. Its totient is φ = 622080.

The previous prime is 2234033. The next prime is 2234069. The reversal of 2234064 is 4604322.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2234064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234069) 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, 20442 + ... + 20550.

It is an arithmetic number, because the mean of its divisors is an integer number (84568).

22234064 is an apocalyptic number.

2234064 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 2234064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382720).

2234064 is an abundant number, since it is smaller than the sum of its proper divisors (4531376).

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

2234064 is a wasteful number, since it uses less digits than its factorization.

2234064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2234064 is about 1494.6785607615. The cubic root of 2234064 is about 130.7269724871.

Adding to 2234064 its reverse (4604322), we get a palindrome (6838386).

The spelling of 2234064 in words is "two million, two hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 109 112 122 168 183 218 244 327 336 366 427 436 488 654 732 763 854 872 976 1281 1308 1464 1526 1708 1744 2289 2562 2616 2928 3052 3416 4578 5124 5232 6104 6649 6832 9156 10248 12208 13298 18312 19947 20496 26596 36624 39894 46543 53192 79788 93086 106384 139629 159576 186172 279258 319152 372344 558516 744688 1117032 2234064