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3900225 = 3527171923
BaseRepresentation
bin1110111000001101000001
321100011002210
432320031001
51444301400
6215332333
745102630
oct16701501
97304083
103900225
11222432a
1213810a9
13a67334
14737517
15520950
hex3b8341

3900225 has 96 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1520640.

The previous prime is 3900223. The next prime is 3900227. The reversal of 3900225 is 5220093.

3900225 = T62 + T63 + ... + T286.

It is an interprime number because it is at equal distance from previous prime (3900223) and next prime (3900227).

It is not a de Polignac number, because 3900225 - 21 = 3900223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3900223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169564 + ... + 169586.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 23900225 is an apocalyptic number.

3900225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3900225 is an abundant number, since it is smaller than the sum of its proper divisors (4670655).

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

3900225 is a wasteful number, since it uses less digits than its factorization.

3900225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3900225 is about 1974.8987315809. The cubic root of 3900225 is about 157.4091186452.

The spelling of 3900225 in words is "three million, nine hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 19 21 23 25 35 51 57 69 75 85 95 105 115 119 133 161 175 255 285 323 345 357 391 399 425 437 475 483 525 575 595 665 805 969 1173 1275 1311 1425 1615 1725 1785 1955 1995 2185 2261 2415 2737 2975 3059 3325 4025 4845 5865 6555 6783 7429 8075 8211 8925 9177 9775 9975 10925 11305 12075 13685 15295 22287 24225 29325 32775 33915 37145 41055 45885 52003 56525 68425 76475 111435 156009 169575 185725 205275 229425 260015 557175 780045 1300075 3900225