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2253348 = 2232531181
BaseRepresentation
bin1000100110001000100100
311020111000100
420212020210
51034101343
6120144100
725103346
oct10461044
94214010
102253348
1112a9a79
12908030
1360b856
14429296
152e79d3
hex226224

2253348 has 36 divisors (see below), whose sum is σ = 5808348. Its totient is φ = 736320.

The previous prime is 2253341. The next prime is 2253353. The reversal of 2253348 is 8433522.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 381924 = 1368^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2253341) 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 11 ways as a sum of consecutive naturals, for example, 1318 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (161343).

22253348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904174).

2253348 is an abundant number, since it is smaller than the sum of its proper divisors (3555000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2253348 is a wasteful number, since it uses less digits than its factorization.

2253348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2253348 is about 1501.1155851566. The cubic root of 2253348 is about 131.1020318864.

It can be divided in two parts, 2253 and 348, that added together give a square (2601 = 512).

The spelling of 2253348 in words is "two million, two hundred fifty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1181 1908 2362 3543 4724 7086 10629 14172 21258 42516 62593 125186 187779 250372 375558 563337 751116 1126674 2253348