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29225000 = 23557167
BaseRepresentation
bin110111101111…
…1000000101000
32000222210011102
41233133000220
524440200000
62522220532
7503260040
oct157370050
960883142
1029225000
11155511a2
129954748
1360932cc
143c4a720
1528743d5
hex1bdf028

29225000 has 96 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 9960000.

The previous prime is 29224999. The next prime is 29225003. The reversal of 29225000 is 52292.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (29225003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174917 + ... + 175083.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 229225000 is an apocalyptic number.

29225000 is a gapful number since it is divisible by the number (20) 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 29225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

29225000 is an abundant number, since it is smaller than the sum of its proper divisors (49519960).

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

29225000 is an equidigital number, since it uses as much as digits as its factorization.

29225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 29225000 is about 5406.0151683102. The cubic root of 29225000 is about 308.0242011680.

Adding to 29225000 its reverse (52292), we get a palindrome (29277292).

The spelling of 29225000 in words is "twenty-nine million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 167 175 200 250 280 334 350 500 625 668 700 835 875 1000 1169 1250 1336 1400 1670 1750 2338 2500 3125 3340 3500 4175 4375 4676 5000 5845 6250 6680 7000 8350 8750 9352 11690 12500 16700 17500 20875 21875 23380 25000 29225 33400 35000 41750 43750 46760 58450 83500 87500 104375 116900 146125 167000 175000 208750 233800 292250 417500 521875 584500 730625 835000 1043750 1169000 1461250 2087500 2922500 3653125 4175000 5845000 7306250 14612500 29225000