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2248225 = 52729443
BaseRepresentation
bin1000100100111000100001
311020012222121
420210320201
51033420400
6120104241
725052410
oct10447041
94205877
102248225
1112a6141
12905081
13609415
14427477
152e621a
hex224e21

2248225 has 24 divisors (see below), whose sum is σ = 3303360. Its totient is φ = 1485120.

The previous prime is 2248223. The next prime is 2248237. The reversal of 2248225 is 5228422.

It is not a de Polignac number, because 2248225 - 21 = 2248223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a d-powerful number, because it can be written as 28 + 212 + 42 + 8 + 217 + 221 + 56 .

2248225 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2248225.

It is not an unprimeable number, because it can be changed into a prime (2248223) 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, 4854 + ... + 5296.

It is an arithmetic number, because the mean of its divisors is an integer number (137640).

22248225 is an apocalyptic number.

2248225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2248225 is a deficient number, since it is larger than the sum of its proper divisors (1055135).

2248225 is a wasteful number, since it uses less digits than its factorization.

2248225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 2248225 is about 1499.4082165975. The cubic root of 2248225 is about 131.0026027492.

The spelling of 2248225 in words is "two million, two hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 145 175 203 443 725 1015 2215 3101 5075 11075 12847 15505 64235 77525 89929 321175 449645 2248225