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2262225 = 352731139
BaseRepresentation
bin1000101000010011010001
311020221012010
420220103101
51034342400
6120253133
725141260
oct10502321
94227163
102262225
111305709
129111a9
136128c4
1442c5d7
152ea450
hex2284d1

2262225 has 48 divisors (see below), whose sum is σ = 4444160. Its totient is φ = 993600.

The previous prime is 2262223. The next prime is 2262229. The reversal of 2262225 is 5222622.

It is not a de Polignac number, because 2262225 - 21 = 2262223 is a prime.

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

It is a d-powerful number, because it can be written as 210 + 213 + 65 + 214 + 217 + 221 + 54 .

It is not an unprimeable number, because it can be changed into a prime (2262223) 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, 16206 + ... + 16344.

22262225 is an apocalyptic number.

2262225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2262225 is a deficient number, since it is larger than the sum of its proper divisors (2181935).

2262225 is a wasteful number, since it uses less digits than its factorization.

2262225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 2262225 is about 1504.0694797781. The cubic root of 2262225 is about 131.2739638783.

Adding to 2262225 its reverse (5222622), we get a palindrome (7484847).

The spelling of 2262225 in words is "two million, two hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 139 155 175 217 417 465 525 651 695 775 973 1085 2085 2325 2919 3255 3475 4309 4865 5425 10425 12927 14595 16275 21545 24325 30163 64635 72975 90489 107725 150815 323175 452445 754075 2262225