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2253321 = 32747761
BaseRepresentation
bin1000100110001000001001
311020110222100
420212020021
51034101241
6120144013
725103310
oct10461011
94213870
102253321
1112a9a54
12908009
1360b835
14429277
152e79b6
hex226209

2253321 has 24 divisors (see below), whose sum is σ = 3803904. Its totient is φ = 1258560.

The previous prime is 2253311. The next prime is 2253323. The reversal of 2253321 is 1233522.

It is not a de Polignac number, because 2253321 - 25 = 2253289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2253294 and 2253303.

It is not an unprimeable number, because it can be changed into a prime (2253323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581 + ... + 3341.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

22253321 is an apocalyptic number.

2253321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2253321 is a deficient number, since it is larger than the sum of its proper divisors (1550583).

2253321 is a wasteful number, since it uses less digits than its factorization.

2253321 is an odious number, because the sum of its binary digits is odd.

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

The product of its digits is 360, while the sum is 18.

The square root of 2253321 is about 1501.1065918182. The cubic root of 2253321 is about 131.1015082554.

Adding to 2253321 its reverse (1233522), we get a palindrome (3486843).

The spelling of 2253321 in words is "two million, two hundred fifty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 47 63 141 329 423 761 987 2283 2961 5327 6849 15981 35767 47943 107301 250369 321903 751107 2253321