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2253825 = 3552753
BaseRepresentation
bin1000100110010000000001
311020111200000
420212100001
51034110300
6120150213
725104630
oct10462001
94214600
102253825
1112aa372
12908369
1360bb32
14429517
152e7c00
hex226401

2253825 has 72 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 1010880.

The previous prime is 2253821. The next prime is 2253827. The reversal of 2253825 is 5283522.

It is not a de Polignac number, because 2253825 - 22 = 2253821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 24 + 217 + 5 + 313 + 84 + 219 + 52 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42499 + ... + 42551.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22253825 is an apocalyptic number.

2253825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2253825 is an abundant number, since it is smaller than the sum of its proper divisors (2620863).

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

2253825 is an equidigital number, since it uses as much as digits as its factorization.

2253825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2253825 is about 1501.2744585851. The cubic root of 2253825 is about 131.1112820122. Note that the first 3 decimals are identical.

The spelling of 2253825 in words is "two million, two hundred fifty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 53 63 75 81 105 135 159 175 189 225 243 265 315 371 405 477 525 567 675 795 945 1113 1215 1325 1431 1575 1701 1855 2025 2385 2835 3339 3975 4293 4725 5565 6075 7155 8505 9275 10017 11925 12879 14175 16695 21465 27825 30051 35775 42525 50085 64395 83475 90153 107325 150255 250425 321975 450765 751275 2253825