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3222405 = 325101709
BaseRepresentation
bin1100010010101110000101
320001201022100
430102232011
51311104110
6153022313
736250524
oct14225605
96051270
103222405
11190104a
1210b4999
1388a964
145dc4bb
15439bc0
hex312b85

3222405 has 24 divisors (see below), whose sum is σ = 5648760. Its totient is φ = 1699200.

The previous prime is 3222397. The next prime is 3222409. The reversal of 3222405 is 5042223.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 2712609 = 714^2 + 1647^2 .

It is not a de Polignac number, because 3222405 - 23 = 3222397 is a prime.

It is a super-3 number, since 3×32224053 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222409) 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, 4191 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (235365).

Almost surely, 23222405 is an apocalyptic number.

It is an amenable number.

3222405 is a deficient number, since it is larger than the sum of its proper divisors (2426355).

3222405 is a wasteful number, since it uses less digits than its factorization.

3222405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3222405 is about 1795.1058464614. The cubic root of 3222405 is about 147.7043800854.

Adding to 3222405 its reverse (5042223), we get a palindrome (8264628).

The spelling of 3222405 in words is "three million, two hundred twenty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 101 303 505 709 909 1515 2127 3545 4545 6381 10635 31905 71609 214827 358045 644481 1074135 3222405