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2230296 = 233196773
BaseRepresentation
bin1000100000100000011000
311012022101120
420200200120
51032332141
6115445240
724646215
oct10404030
94168346
102230296
111293722
128b6820
13601203
14420b0c
152e0c66
hex220818

2230296 has 64 divisors (see below), whose sum is σ = 6038400. Its totient is φ = 684288.

The previous prime is 2230253. The next prime is 2230301. The reversal of 2230296 is 6920322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 211 + 217 + 32 + 0 + 221 + 9 + 6 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30516 + ... + 30588.

It is an arithmetic number, because the mean of its divisors is an integer number (94350).

22230296 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 2230296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019200).

2230296 is an abundant number, since it is smaller than the sum of its proper divisors (3808104).

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

2230296 is a wasteful number, since it uses less digits than its factorization.

2230296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2230296 is about 1493.4175571487. The cubic root of 2230296 is about 130.6534358856.

2230296 divided by its sum of digits (24) gives a palindrome (92929).

The spelling of 2230296 in words is "two million, two hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 73 76 114 134 146 152 201 219 228 268 292 402 438 456 536 584 804 876 1273 1387 1608 1752 2546 2774 3819 4161 4891 5092 5548 7638 8322 9782 10184 11096 14673 15276 16644 19564 29346 30552 33288 39128 58692 92929 117384 185858 278787 371716 557574 743432 1115148 2230296