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2246405 = 57253173
BaseRepresentation
bin1000100100011100000101
311020010111012
420210130011
51033341110
6120052005
725044200
oct10443405
94203435
102246405
1112a4837
12904005
13608645
14426937
152e5905
hex224705

2246405 has 24 divisors (see below), whose sum is σ = 3213432. Its totient is φ = 1502592.

The previous prime is 2246399. The next prime is 2246411. The reversal of 2246405 is 5046422.

It is an interprime number because it is at equal distance from previous prime (2246399) and next prime (2246411).

It can be written as a sum of positive squares in 4 ways, for example, as 879844 + 1366561 = 938^2 + 1169^2 .

It is not a de Polignac number, because 2246405 - 28 = 2246149 is a prime.

It is a d-powerful number, because it can be written as 25 + 213 + 45 + 67 + 46 + 0 + 59 .

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12899 + ... + 13071.

It is an arithmetic number, because the mean of its divisors is an integer number (133893).

22246405 is an apocalyptic number.

It is an amenable number.

2246405 is a deficient number, since it is larger than the sum of its proper divisors (967027).

2246405 is a wasteful number, since it uses less digits than its factorization.

2246405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2246405 is about 1498.8011876163. The cubic root of 2246405 is about 130.9672431354.

The spelling of 2246405 in words is "two million, two hundred forty-six thousand, four hundred five".

Divisors: 1 5 7 35 49 53 173 245 265 371 865 1211 1855 2597 6055 8477 9169 12985 42385 45845 64183 320915 449281 2246405