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2829225 = 352717317
BaseRepresentation
bin1010110010101110101001
312022201222010
422302232221
51211013400
6140350133
733022320
oct12625651
95281863
102829225
111662703
12b45349
137809c9
145390b7
153ad450
hex2b2ba9

2829225 has 48 divisors (see below), whose sum is σ = 5678208. Its totient is φ = 1213440.

The previous prime is 2829223. The next prime is 2829247. The reversal of 2829225 is 5229282.

It is not a de Polignac number, because 2829225 - 21 = 2829223 is a prime.

2829225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2829192 and 2829201.

It is not an unprimeable number, because it can be changed into a prime (2829223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8767 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (118296).

22829225 is an apocalyptic number.

2829225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2829225 is an abundant number, since it is smaller than the sum of its proper divisors (2848983).

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

2829225 is a wasteful number, since it uses less digits than its factorization.

2829225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2829225 is about 1682.0300235133. The cubic root of 2829225 is about 141.4346529080.

The spelling of 2829225 in words is "two million, eight hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 317 357 425 525 595 951 1275 1585 1785 2219 2975 4755 5389 6657 7925 8925 11095 16167 23775 26945 33285 37723 55475 80835 113169 134725 166425 188615 404175 565845 943075 2829225