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429225 = 3525997
BaseRepresentation
bin1101000110010101001
3210210210020
41220302221
5102213400
613111053
73435246
oct1506251
9723706
10429225
11273535
12188489
131204a4
14b25cd
15872a0
hex68ca9

429225 has 24 divisors (see below), whose sum is σ = 729120. Its totient is φ = 222720.

The previous prime is 429223. The next prime is 429227. The reversal of 429225 is 522924.

It is an interprime number because it is at equal distance from previous prime (429223) and next prime (429227).

It is not a de Polignac number, because 429225 - 21 = 429223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 429195 and 429204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429225.

It is not an unprimeable number, because it can be changed into a prime (429223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4377 + ... + 4473.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2429225 is an apocalyptic number.

It is an amenable number.

429225 is a deficient number, since it is larger than the sum of its proper divisors (299895).

429225 is a wasteful number, since it uses less digits than its factorization.

429225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 429225 is about 655.1526539670. The cubic root of 429225 is about 75.4330503088.

Subtracting from 429225 its sum of digits (24), we obtain a triangular number (429201 = T926).

The spelling of 429225 in words is "four hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 59 75 97 177 291 295 485 885 1455 1475 2425 4425 5723 7275 17169 28615 85845 143075 429225