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2229728 = 25591181
BaseRepresentation
bin1000100000010111100000
311012021121112
420200113200
51032322403
6115442452
724644444
oct10402740
94167545
102229728
111293256
128b6428
13600b87
14420824
152e09d8
hex2205e0

2229728 has 24 divisors (see below), whose sum is σ = 4467960. Its totient is φ = 1095040.

The previous prime is 2229713. The next prime is 2229767. The reversal of 2229728 is 8279222.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 26 + 210 + 217 + 9 + 73 + 221 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 2229694 and 2229703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1298 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (186165).

22229728 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 2229728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233980).

2229728 is an abundant number, since it is smaller than the sum of its proper divisors (2238232).

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

2229728 is a wasteful number, since it uses less digits than its factorization.

2229728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2229728 is about 1493.2273771934. The cubic root of 2229728 is about 130.6423435683.

The spelling of 2229728 in words is "two million, two hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1181 1888 2362 4724 9448 18896 37792 69679 139358 278716 557432 1114864 2229728